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Finding the Fourth Proportional to 13,539.16, 18,683.28 and 7,569.64

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Solution

The fourth proportional to 13,539.16, 18,683.28 and 7,569.64 is: 10,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.16 : 18,683.28 = 7,569.64 : x
  2. Step 2: Convert to fraction form
    13,539.16/18,683.28 = 7,569.64/x
  3. Step 3: Cross multiply
    13,539.16x = 18,683.28 × 7,569.64
  4. Step 4: Simplify right side
    13,539.16x = 141,425,703.62
  5. Step 5: Solve for x
    x = 141,425,703.62/13,539.16
  6. Step 6: Final answer
    x = 10,445.68

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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.