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Finding the Fourth Proportional to 22,009.60, 32,979.72 and 17,024.16

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Solution

The fourth proportional to 22,009.60, 32,979.72 and 17,024.16 is: 25,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.60 : 32,979.72 = 17,024.16 : x
  2. Step 2: Convert to fraction form
    22,009.60/32,979.72 = 17,024.16/x
  3. Step 3: Cross multiply
    22,009.60x = 32,979.72 × 17,024.16
  4. Step 4: Simplify right side
    22,009.60x = 561,452,030.04
  5. Step 5: Solve for x
    x = 561,452,030.04/22,009.60
  6. Step 6: Final answer
    x = 25,509.42

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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.