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Finding the Fourth Proportional to 13,430.86, 20,148.90 and 6,035.20

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Solution

The fourth proportional to 13,430.86, 20,148.90 and 6,035.20 is: 9,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.86 : 20,148.90 = 6,035.20 : x
  2. Step 2: Convert to fraction form
    13,430.86/20,148.90 = 6,035.20/x
  3. Step 3: Cross multiply
    13,430.86x = 20,148.90 × 6,035.20
  4. Step 4: Simplify right side
    13,430.86x = 121,602,641.28
  5. Step 5: Solve for x
    x = 121,602,641.28/13,430.86
  6. Step 6: Final answer
    x = 9,053.97

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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.