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Finding the Fourth Proportional to 13,045.20, 18,002.44 and 7,740.32

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Solution

The fourth proportional to 13,045.20, 18,002.44 and 7,740.32 is: 10,681.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.20 : 18,002.44 = 7,740.32 : x
  2. Step 2: Convert to fraction form
    13,045.20/18,002.44 = 7,740.32/x
  3. Step 3: Cross multiply
    13,045.20x = 18,002.44 × 7,740.32
  4. Step 4: Simplify right side
    13,045.20x = 139,344,646.38
  5. Step 5: Solve for x
    x = 139,344,646.38/13,045.20
  6. Step 6: Final answer
    x = 10,681.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.