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Finding the Fourth Proportional to 13,539.90, 18,684.21 and 7,572

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Solution

The fourth proportional to 13,539.90, 18,684.21 and 7,572 is: 10,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.90 : 18,684.21 = 7,572 : x
  2. Step 2: Convert to fraction form
    13,539.90/18,684.21 = 7,572/x
  3. Step 3: Cross multiply
    13,539.90x = 18,684.21 × 7,572
  4. Step 4: Simplify right side
    13,539.90x = 141,476,838.12
  5. Step 5: Solve for x
    x = 141,476,838.12/13,539.90
  6. Step 6: Final answer
    x = 10,448.88

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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.