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Finding the Fourth Proportional to 15,082.80, 22,598.53 and 9,809.74

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Solution

The fourth proportional to 15,082.80, 22,598.53 and 9,809.74 is: 14,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.80 : 22,598.53 = 9,809.74 : x
  2. Step 2: Convert to fraction form
    15,082.80/22,598.53 = 9,809.74/x
  3. Step 3: Cross multiply
    15,082.80x = 22,598.53 × 9,809.74
  4. Step 4: Simplify right side
    15,082.80x = 221,685,703.68
  5. Step 5: Solve for x
    x = 221,685,703.68/15,082.80
  6. Step 6: Final answer
    x = 14,697.91

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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.