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Finding the Fourth Proportional to 12,853.47, 17,741.54 and 7,477.15

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Solution

The fourth proportional to 12,853.47, 17,741.54 and 7,477.15 is: 10,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.47 : 17,741.54 = 7,477.15 : x
  2. Step 2: Convert to fraction form
    12,853.47/17,741.54 = 7,477.15/x
  3. Step 3: Cross multiply
    12,853.47x = 17,741.54 × 7,477.15
  4. Step 4: Simplify right side
    12,853.47x = 132,656,155.81
  5. Step 5: Solve for x
    x = 132,656,155.81/12,853.47
  6. Step 6: Final answer
    x = 10,320.65

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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.