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Finding the Fourth Proportional to 16,430.40, 22,669.20 and 9,712.80

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Solution

The fourth proportional to 16,430.40, 22,669.20 and 9,712.80 is: 13,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.40 : 22,669.20 = 9,712.80 : x
  2. Step 2: Convert to fraction form
    16,430.40/22,669.20 = 9,712.80/x
  3. Step 3: Cross multiply
    16,430.40x = 22,669.20 × 9,712.80
  4. Step 4: Simplify right side
    16,430.40x = 220,181,405.76
  5. Step 5: Solve for x
    x = 220,181,405.76/16,430.40
  6. Step 6: Final answer
    x = 13,400.85

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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.