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Finding the Fourth Proportional to 21,707.60, 32,562.05 and 7,475.91

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Solution

The fourth proportional to 21,707.60, 32,562.05 and 7,475.91 is: 11,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.60 : 32,562.05 = 7,475.91 : x
  2. Step 2: Convert to fraction form
    21,707.60/32,562.05 = 7,475.91/x
  3. Step 3: Cross multiply
    21,707.60x = 32,562.05 × 7,475.91
  4. Step 4: Simplify right side
    21,707.60x = 243,430,917.84
  5. Step 5: Solve for x
    x = 243,430,917.84/21,707.60
  6. Step 6: Final answer
    x = 11,214.09

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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.