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Finding the Fourth Proportional to 10,014.70, 15,024.66 and 3,774.76

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Solution

The fourth proportional to 10,014.70, 15,024.66 and 3,774.76 is: 5,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.70 : 15,024.66 = 3,774.76 : x
  2. Step 2: Convert to fraction form
    10,014.70/15,024.66 = 3,774.76/x
  3. Step 3: Cross multiply
    10,014.70x = 15,024.66 × 3,774.76
  4. Step 4: Simplify right side
    10,014.70x = 56,714,485.58
  5. Step 5: Solve for x
    x = 56,714,485.58/10,014.70
  6. Step 6: Final answer
    x = 5,663.12

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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.