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Finding the Fourth Proportional to 25,651.15, 35,398.42 and 14,320

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Solution

The fourth proportional to 25,651.15, 35,398.42 and 14,320 is: 19,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.15 : 35,398.42 = 14,320 : x
  2. Step 2: Convert to fraction form
    25,651.15/35,398.42 = 14,320/x
  3. Step 3: Cross multiply
    25,651.15x = 35,398.42 × 14,320
  4. Step 4: Simplify right side
    25,651.15x = 506,905,374.40
  5. Step 5: Solve for x
    x = 506,905,374.40/25,651.15
  6. Step 6: Final answer
    x = 19,761.51

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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.