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Finding the Fourth Proportional to 21,390.52, 32,059.06 and 10,294.24

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Solution

The fourth proportional to 21,390.52, 32,059.06 and 10,294.24 is: 15,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,390.52 : 32,059.06 = 10,294.24 : x
  2. Step 2: Convert to fraction form
    21,390.52/32,059.06 = 10,294.24/x
  3. Step 3: Cross multiply
    21,390.52x = 32,059.06 × 10,294.24
  4. Step 4: Simplify right side
    21,390.52x = 330,023,657.81
  5. Step 5: Solve for x
    x = 330,023,657.81/21,390.52
  6. Step 6: Final answer
    x = 15,428.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.