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Finding the Fourth Proportional to 21,337.96, 32,011.98 and 7,298.14

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Solution

The fourth proportional to 21,337.96, 32,011.98 and 7,298.14 is: 10,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,337.96 : 32,011.98 = 7,298.14 : x
  2. Step 2: Convert to fraction form
    21,337.96/32,011.98 = 7,298.14/x
  3. Step 3: Cross multiply
    21,337.96x = 32,011.98 × 7,298.14
  4. Step 4: Simplify right side
    21,337.96x = 233,627,911.72
  5. Step 5: Solve for x
    x = 233,627,911.72/21,337.96
  6. Step 6: Final answer
    x = 10,948.93

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