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Finding the Fourth Proportional to 35,416.59, 53,130.52 and 11,725

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Solution

The fourth proportional to 35,416.59, 53,130.52 and 11,725 is: 17,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,416.59 : 53,130.52 = 11,725 : x
  2. Step 2: Convert to fraction form
    35,416.59/53,130.52 = 11,725/x
  3. Step 3: Cross multiply
    35,416.59x = 53,130.52 × 11,725
  4. Step 4: Simplify right side
    35,416.59x = 622,955,347
  5. Step 5: Solve for x
    x = 622,955,347/35,416.59
  6. Step 6: Final answer
    x = 17,589.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.