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Finding the Fourth Proportional to 12,909.40, 19,349.70 and 7,365.40

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Solution

The fourth proportional to 12,909.40, 19,349.70 and 7,365.40 is: 11,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.40 : 19,349.70 = 7,365.40 : x
  2. Step 2: Convert to fraction form
    12,909.40/19,349.70 = 7,365.40/x
  3. Step 3: Cross multiply
    12,909.40x = 19,349.70 × 7,365.40
  4. Step 4: Simplify right side
    12,909.40x = 142,518,280.38
  5. Step 5: Solve for x
    x = 142,518,280.38/12,909.40
  6. Step 6: Final answer
    x = 11,039.88

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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.