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Finding the Fourth Proportional to 25,962.71, 35,830.43 and 14,478.39

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Solution

The fourth proportional to 25,962.71, 35,830.43 and 14,478.39 is: 19,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,962.71 : 35,830.43 = 14,478.39 : x
  2. Step 2: Convert to fraction form
    25,962.71/35,830.43 = 14,478.39/x
  3. Step 3: Cross multiply
    25,962.71x = 35,830.43 × 14,478.39
  4. Step 4: Simplify right side
    25,962.71x = 518,767,001.38
  5. Step 5: Solve for x
    x = 518,767,001.38/25,962.71
  6. Step 6: Final answer
    x = 19,981.24

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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.