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Finding the Fourth Proportional to 25,574.76, 35,292 and 14,243.64

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Solution

The fourth proportional to 25,574.76, 35,292 and 14,243.64 is: 19,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.76 : 35,292 = 14,243.64 : x
  2. Step 2: Convert to fraction form
    25,574.76/35,292 = 14,243.64/x
  3. Step 3: Cross multiply
    25,574.76x = 35,292 × 14,243.64
  4. Step 4: Simplify right side
    25,574.76x = 502,686,542.88
  5. Step 5: Solve for x
    x = 502,686,542.88/25,574.76
  6. Step 6: Final answer
    x = 19,655.57

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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.