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Finding the Fourth Proportional to 23,206.48, 34,813.68 and 9,159.16

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Solution

The fourth proportional to 23,206.48, 34,813.68 and 9,159.16 is: 13,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.48 : 34,813.68 = 9,159.16 : x
  2. Step 2: Convert to fraction form
    23,206.48/34,813.68 = 9,159.16/x
  3. Step 3: Cross multiply
    23,206.48x = 34,813.68 × 9,159.16
  4. Step 4: Simplify right side
    23,206.48x = 318,864,065.31
  5. Step 5: Solve for x
    x = 318,864,065.31/23,206.48
  6. Step 6: Final answer
    x = 13,740.30

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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.