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Finding the Fourth Proportional to 23,439.98, 32,347.22 and 12,830.29

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Solution

The fourth proportional to 23,439.98, 32,347.22 and 12,830.29 is: 17,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,439.98 : 32,347.22 = 12,830.29 : x
  2. Step 2: Convert to fraction form
    23,439.98/32,347.22 = 12,830.29/x
  3. Step 3: Cross multiply
    23,439.98x = 32,347.22 × 12,830.29
  4. Step 4: Simplify right side
    23,439.98x = 415,024,068.27
  5. Step 5: Solve for x
    x = 415,024,068.27/23,439.98
  6. Step 6: Final answer
    x = 17,705.82

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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.