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Finding the Fourth Proportional to 14,290.83, 19,712.16 and 10,305.63

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Solution

The fourth proportional to 14,290.83, 19,712.16 and 10,305.63 is: 14,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.83 : 19,712.16 = 10,305.63 : x
  2. Step 2: Convert to fraction form
    14,290.83/19,712.16 = 10,305.63/x
  3. Step 3: Cross multiply
    14,290.83x = 19,712.16 × 10,305.63
  4. Step 4: Simplify right side
    14,290.83x = 203,146,227.46
  5. Step 5: Solve for x
    x = 203,146,227.46/14,290.83
  6. Step 6: Final answer
    x = 14,215.15

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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.