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Finding the Fourth Proportional to 13,442.34, 18,545.10 and 7,776.03

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Solution

The fourth proportional to 13,442.34, 18,545.10 and 7,776.03 is: 10,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.34 : 18,545.10 = 7,776.03 : x
  2. Step 2: Convert to fraction form
    13,442.34/18,545.10 = 7,776.03/x
  3. Step 3: Cross multiply
    13,442.34x = 18,545.10 × 7,776.03
  4. Step 4: Simplify right side
    13,442.34x = 144,207,294.34
  5. Step 5: Solve for x
    x = 144,207,294.34/13,442.34
  6. Step 6: Final answer
    x = 10,727.84

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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.