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Finding the Fourth Proportional to 35,707.68, 53,569.02 and 13,520.57

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Solution

The fourth proportional to 35,707.68, 53,569.02 and 13,520.57 is: 20,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,707.68 : 53,569.02 = 13,520.57 : x
  2. Step 2: Convert to fraction form
    35,707.68/53,569.02 = 13,520.57/x
  3. Step 3: Cross multiply
    35,707.68x = 53,569.02 × 13,520.57
  4. Step 4: Simplify right side
    35,707.68x = 724,283,416.90
  5. Step 5: Solve for x
    x = 724,283,416.90/35,707.68
  6. Step 6: Final answer
    x = 20,283.69

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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.