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Finding the Fourth Proportional to 25,497.64, 35,186.43 and 14,319.64

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Solution

The fourth proportional to 25,497.64, 35,186.43 and 14,319.64 is: 19,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.64 : 35,186.43 = 14,319.64 : x
  2. Step 2: Convert to fraction form
    25,497.64/35,186.43 = 14,319.64/x
  3. Step 3: Cross multiply
    25,497.64x = 35,186.43 × 14,319.64
  4. Step 4: Simplify right side
    25,497.64x = 503,857,010.49
  5. Step 5: Solve for x
    x = 503,857,010.49/25,497.64
  6. Step 6: Final answer
    x = 19,760.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.