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Finding the Fourth Proportional to 21,406.70, 32,109.54 and 11,565.20

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Solution

The fourth proportional to 21,406.70, 32,109.54 and 11,565.20 is: 17,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.70 : 32,109.54 = 11,565.20 : x
  2. Step 2: Convert to fraction form
    21,406.70/32,109.54 = 11,565.20/x
  3. Step 3: Cross multiply
    21,406.70x = 32,109.54 × 11,565.20
  4. Step 4: Simplify right side
    21,406.70x = 371,353,252.01
  5. Step 5: Solve for x
    x = 371,353,252.01/21,406.70
  6. Step 6: Final answer
    x = 17,347.52

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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.