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Finding the Fourth Proportional to 21,641.12, 32,461.68 and 9,329.12

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Solution

The fourth proportional to 21,641.12, 32,461.68 and 9,329.12 is: 13,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.12 : 32,461.68 = 9,329.12 : x
  2. Step 2: Convert to fraction form
    21,641.12/32,461.68 = 9,329.12/x
  3. Step 3: Cross multiply
    21,641.12x = 32,461.68 × 9,329.12
  4. Step 4: Simplify right side
    21,641.12x = 302,838,908.12
  5. Step 5: Solve for x
    x = 302,838,908.12/21,641.12
  6. Step 6: Final answer
    x = 13,993.68

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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.