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Finding the Fourth Proportional to 13,543.34, 18,688.12 and 7,574.04

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Solution

The fourth proportional to 13,543.34, 18,688.12 and 7,574.04 is: 10,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.34 : 18,688.12 = 7,574.04 : x
  2. Step 2: Convert to fraction form
    13,543.34/18,688.12 = 7,574.04/x
  3. Step 3: Cross multiply
    13,543.34x = 18,688.12 × 7,574.04
  4. Step 4: Simplify right side
    13,543.34x = 141,544,549.47
  5. Step 5: Solve for x
    x = 141,544,549.47/13,543.34
  6. Step 6: Final answer
    x = 10,451.23

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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.