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Finding the Fourth Proportional to 23,189.64, 32,001.14 and 13,253

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Solution

The fourth proportional to 23,189.64, 32,001.14 and 13,253 is: 18,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.64 : 32,001.14 = 13,253 : x
  2. Step 2: Convert to fraction form
    23,189.64/32,001.14 = 13,253/x
  3. Step 3: Cross multiply
    23,189.64x = 32,001.14 × 13,253
  4. Step 4: Simplify right side
    23,189.64x = 424,111,108.42
  5. Step 5: Solve for x
    x = 424,111,108.42/23,189.64
  6. Step 6: Final answer
    x = 18,288.82

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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.