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Finding the Fourth Proportional to 12,642.40, 18,931.20 and 9,337.60

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Solution

The fourth proportional to 12,642.40, 18,931.20 and 9,337.60 is: 13,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.40 : 18,931.20 = 9,337.60 : x
  2. Step 2: Convert to fraction form
    12,642.40/18,931.20 = 9,337.60/x
  3. Step 3: Cross multiply
    12,642.40x = 18,931.20 × 9,337.60
  4. Step 4: Simplify right side
    12,642.40x = 176,771,973.12
  5. Step 5: Solve for x
    x = 176,771,973.12/12,642.40
  6. Step 6: Final answer
    x = 13,982.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.