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Finding the Fourth Proportional to 13,005.60, 17,928.40 and 9,223.20

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Solution

The fourth proportional to 13,005.60, 17,928.40 and 9,223.20 is: 12,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.60 : 17,928.40 = 9,223.20 : x
  2. Step 2: Convert to fraction form
    13,005.60/17,928.40 = 9,223.20/x
  3. Step 3: Cross multiply
    13,005.60x = 17,928.40 × 9,223.20
  4. Step 4: Simplify right side
    13,005.60x = 165,357,218.88
  5. Step 5: Solve for x
    x = 165,357,218.88/13,005.60
  6. Step 6: Final answer
    x = 12,714.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.