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Finding the Fourth Proportional to 12,017.40, 16,574.70 and 8,037.24

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Solution

The fourth proportional to 12,017.40, 16,574.70 and 8,037.24 is: 11,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.40 : 16,574.70 = 8,037.24 : x
  2. Step 2: Convert to fraction form
    12,017.40/16,574.70 = 8,037.24/x
  3. Step 3: Cross multiply
    12,017.40x = 16,574.70 × 8,037.24
  4. Step 4: Simplify right side
    12,017.40x = 133,214,841.83
  5. Step 5: Solve for x
    x = 133,214,841.83/12,017.40
  6. Step 6: Final answer
    x = 11,085.16

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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.