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Finding the Fourth Proportional to 15,751.32, 23,626.44 and 9,164.40

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Solution

The fourth proportional to 15,751.32, 23,626.44 and 9,164.40 is: 13,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751.32 : 23,626.44 = 9,164.40 : x
  2. Step 2: Convert to fraction form
    15,751.32/23,626.44 = 9,164.40/x
  3. Step 3: Cross multiply
    15,751.32x = 23,626.44 × 9,164.40
  4. Step 4: Simplify right side
    15,751.32x = 216,522,146.74
  5. Step 5: Solve for x
    x = 216,522,146.74/15,751.32
  6. Step 6: Final answer
    x = 13,746.29

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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.