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Finding the Fourth Proportional to 12,894.72, 17,803.80 and 10,065.24

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Solution

The fourth proportional to 12,894.72, 17,803.80 and 10,065.24 is: 13,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.72 : 17,803.80 = 10,065.24 : x
  2. Step 2: Convert to fraction form
    12,894.72/17,803.80 = 10,065.24/x
  3. Step 3: Cross multiply
    12,894.72x = 17,803.80 × 10,065.24
  4. Step 4: Simplify right side
    12,894.72x = 179,199,519.91
  5. Step 5: Solve for x
    x = 179,199,519.91/12,894.72
  6. Step 6: Final answer
    x = 13,897.12

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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.