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Finding the Fourth Proportional to 12,653.96, 17,461.13 and 7,347.74

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Solution

The fourth proportional to 12,653.96, 17,461.13 and 7,347.74 is: 10,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.96 : 17,461.13 = 7,347.74 : x
  2. Step 2: Convert to fraction form
    12,653.96/17,461.13 = 7,347.74/x
  3. Step 3: Cross multiply
    12,653.96x = 17,461.13 × 7,347.74
  4. Step 4: Simplify right side
    12,653.96x = 128,299,843.35
  5. Step 5: Solve for x
    x = 128,299,843.35/12,653.96
  6. Step 6: Final answer
    x = 10,139.11

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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.