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Finding the Fourth Proportional to 25,223, 34,807.74 and 14,047.64

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Solution

The fourth proportional to 25,223, 34,807.74 and 14,047.64 is: 19,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,223 : 34,807.74 = 14,047.64 : x
  2. Step 2: Convert to fraction form
    25,223/34,807.74 = 14,047.64/x
  3. Step 3: Cross multiply
    25,223x = 34,807.74 × 14,047.64
  4. Step 4: Simplify right side
    25,223x = 488,966,600.73
  5. Step 5: Solve for x
    x = 488,966,600.73/25,223
  6. Step 6: Final answer
    x = 19,385.74

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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.