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Finding the Fourth Proportional to 25,802.47, 38,703.74 and 7,082.76

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Solution

The fourth proportional to 25,802.47, 38,703.74 and 7,082.76 is: 10,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.47 : 38,703.74 = 7,082.76 : x
  2. Step 2: Convert to fraction form
    25,802.47/38,703.74 = 7,082.76/x
  3. Step 3: Cross multiply
    25,802.47x = 38,703.74 × 7,082.76
  4. Step 4: Simplify right side
    25,802.47x = 274,129,266.11
  5. Step 5: Solve for x
    x = 274,129,266.11/25,802.47
  6. Step 6: Final answer
    x = 10,624.15

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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.