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Finding the Fourth Proportional to 12,053.76, 16,643.52 and 9,706.92

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Solution

The fourth proportional to 12,053.76, 16,643.52 and 9,706.92 is: 13,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.76 : 16,643.52 = 9,706.92 : x
  2. Step 2: Convert to fraction form
    12,053.76/16,643.52 = 9,706.92/x
  3. Step 3: Cross multiply
    12,053.76x = 16,643.52 × 9,706.92
  4. Step 4: Simplify right side
    12,053.76x = 161,557,317.16
  5. Step 5: Solve for x
    x = 161,557,317.16/12,053.76
  6. Step 6: Final answer
    x = 13,403.06

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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.