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Finding the Fourth Proportional to 25,464, 35,140.32 and 14,285.76

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Solution

The fourth proportional to 25,464, 35,140.32 and 14,285.76 is: 19,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,464 : 35,140.32 = 14,285.76 : x
  2. Step 2: Convert to fraction form
    25,464/35,140.32 = 14,285.76/x
  3. Step 3: Cross multiply
    25,464x = 35,140.32 × 14,285.76
  4. Step 4: Simplify right side
    25,464x = 502,006,177.84
  5. Step 5: Solve for x
    x = 502,006,177.84/25,464
  6. Step 6: Final answer
    x = 19,714.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.