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Finding the Fourth Proportional to 23,262.84, 32,102.52 and 12,652.28

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Solution

The fourth proportional to 23,262.84, 32,102.52 and 12,652.28 is: 17,460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,262.84 : 32,102.52 = 12,652.28 : x
  2. Step 2: Convert to fraction form
    23,262.84/32,102.52 = 12,652.28/x
  3. Step 3: Cross multiply
    23,262.84x = 32,102.52 × 12,652.28
  4. Step 4: Simplify right side
    23,262.84x = 406,170,071.75
  5. Step 5: Solve for x
    x = 406,170,071.75/23,262.84
  6. Step 6: Final answer
    x = 17,460.04

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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.