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Finding the Fourth Proportional to 20,009.60, 29,974.80 and 17,547.20

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Solution

The fourth proportional to 20,009.60, 29,974.80 and 17,547.20 is: 26,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.60 : 29,974.80 = 17,547.20 : x
  2. Step 2: Convert to fraction form
    20,009.60/29,974.80 = 17,547.20/x
  3. Step 3: Cross multiply
    20,009.60x = 29,974.80 × 17,547.20
  4. Step 4: Simplify right side
    20,009.60x = 525,973,810.56
  5. Step 5: Solve for x
    x = 525,973,810.56/20,009.60
  6. Step 6: Final answer
    x = 26,286.07

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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.