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Finding the Fourth Proportional to 12,746.72, 17,570.76 and 10,384.76

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Solution

The fourth proportional to 12,746.72, 17,570.76 and 10,384.76 is: 14,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.72 : 17,570.76 = 10,384.76 : x
  2. Step 2: Convert to fraction form
    12,746.72/17,570.76 = 10,384.76/x
  3. Step 3: Cross multiply
    12,746.72x = 17,570.76 × 10,384.76
  4. Step 4: Simplify right side
    12,746.72x = 182,468,037.76
  5. Step 5: Solve for x
    x = 182,468,037.76/12,746.72
  6. Step 6: Final answer
    x = 14,314.91

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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.