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Finding the Fourth Proportional to 24,746.16, 37,128.96 and 9,165

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Solution

The fourth proportional to 24,746.16, 37,128.96 and 9,165 is: 13,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746.16 : 37,128.96 = 9,165 : x
  2. Step 2: Convert to fraction form
    24,746.16/37,128.96 = 9,165/x
  3. Step 3: Cross multiply
    24,746.16x = 37,128.96 × 9,165
  4. Step 4: Simplify right side
    24,746.16x = 340,286,918.40
  5. Step 5: Solve for x
    x = 340,286,918.40/24,746.16
  6. Step 6: Final answer
    x = 13,751.10

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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.