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Finding the Fourth Proportional to 25,610, 35,342.16 and 14,432

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Solution

The fourth proportional to 25,610, 35,342.16 and 14,432 is: 19,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,610 : 35,342.16 = 14,432 : x
  2. Step 2: Convert to fraction form
    25,610/35,342.16 = 14,432/x
  3. Step 3: Cross multiply
    25,610x = 35,342.16 × 14,432
  4. Step 4: Simplify right side
    25,610x = 510,058,053.12
  5. Step 5: Solve for x
    x = 510,058,053.12/25,610
  6. Step 6: Final answer
    x = 19,916.36

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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.