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Finding the Fourth Proportional to 23,562.88, 32,515.20 and 12,952

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Solution

The fourth proportional to 23,562.88, 32,515.20 and 12,952 is: 17,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.88 : 32,515.20 = 12,952 : x
  2. Step 2: Convert to fraction form
    23,562.88/32,515.20 = 12,952/x
  3. Step 3: Cross multiply
    23,562.88x = 32,515.20 × 12,952
  4. Step 4: Simplify right side
    23,562.88x = 421,136,870.40
  5. Step 5: Solve for x
    x = 421,136,870.40/23,562.88
  6. Step 6: Final answer
    x = 17,872.89

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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.