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Finding the Fourth Proportional to 23,435.40, 32,352 and 14,488.12

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Solution

The fourth proportional to 23,435.40, 32,352 and 14,488.12 is: 20,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435.40 : 32,352 = 14,488.12 : x
  2. Step 2: Convert to fraction form
    23,435.40/32,352 = 14,488.12/x
  3. Step 3: Cross multiply
    23,435.40x = 32,352 × 14,488.12
  4. Step 4: Simplify right side
    23,435.40x = 468,719,658.24
  5. Step 5: Solve for x
    x = 468,719,658.24/23,435.40
  6. Step 6: Final answer
    x = 20,000.50

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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.