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Finding the Fourth Proportional to 25,562.86, 35,275.92 and 14,232

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Solution

The fourth proportional to 25,562.86, 35,275.92 and 14,232 is: 19,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,562.86 : 35,275.92 = 14,232 : x
  2. Step 2: Convert to fraction form
    25,562.86/35,275.92 = 14,232/x
  3. Step 3: Cross multiply
    25,562.86x = 35,275.92 × 14,232
  4. Step 4: Simplify right side
    25,562.86x = 502,046,893.44
  5. Step 5: Solve for x
    x = 502,046,893.44/25,562.86
  6. Step 6: Final answer
    x = 19,639.70

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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.