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Finding the Fourth Proportional to 15,984.05, 22,053.65 and 9,085.11

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Solution

The fourth proportional to 15,984.05, 22,053.65 and 9,085.11 is: 12,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.05 : 22,053.65 = 9,085.11 : x
  2. Step 2: Convert to fraction form
    15,984.05/22,053.65 = 9,085.11/x
  3. Step 3: Cross multiply
    15,984.05x = 22,053.65 × 9,085.11
  4. Step 4: Simplify right side
    15,984.05x = 200,359,941.57
  5. Step 5: Solve for x
    x = 200,359,941.57/15,984.05
  6. Step 6: Final answer
    x = 12,535.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.