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Finding the Fourth Proportional to 13,539.52, 18,682.32 and 7,570.16

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Solution

The fourth proportional to 13,539.52, 18,682.32 and 7,570.16 is: 10,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.52 : 18,682.32 = 7,570.16 : x
  2. Step 2: Convert to fraction form
    13,539.52/18,682.32 = 7,570.16/x
  3. Step 3: Cross multiply
    13,539.52x = 18,682.32 × 7,570.16
  4. Step 4: Simplify right side
    13,539.52x = 141,428,151.57
  5. Step 5: Solve for x
    x = 141,428,151.57/13,539.52
  6. Step 6: Final answer
    x = 10,445.58

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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.