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Finding the Fourth Proportional to 15,352.60, 23,015.40 and 9,097.24

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Solution

The fourth proportional to 15,352.60, 23,015.40 and 9,097.24 is: 13,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,352.60 : 23,015.40 = 9,097.24 : x
  2. Step 2: Convert to fraction form
    15,352.60/23,015.40 = 9,097.24/x
  3. Step 3: Cross multiply
    15,352.60x = 23,015.40 × 9,097.24
  4. Step 4: Simplify right side
    15,352.60x = 209,376,617.50
  5. Step 5: Solve for x
    x = 209,376,617.50/15,352.60
  6. Step 6: Final answer
    x = 13,637.86

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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.