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Finding the Fourth Proportional to 10,251.77, 14,055.17 and 10,064.93

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Solution

The fourth proportional to 10,251.77, 14,055.17 and 10,064.93 is: 13,799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.77 : 14,055.17 = 10,064.93 : x
  2. Step 2: Convert to fraction form
    10,251.77/14,055.17 = 10,064.93/x
  3. Step 3: Cross multiply
    10,251.77x = 14,055.17 × 10,064.93
  4. Step 4: Simplify right side
    10,251.77x = 141,464,324.74
  5. Step 5: Solve for x
    x = 141,464,324.74/10,251.77
  6. Step 6: Final answer
    x = 13,799.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.