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Finding the Fourth Proportional to 14,322.47, 19,763.72 and 8,354.66

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Solution

The fourth proportional to 14,322.47, 19,763.72 and 8,354.66 is: 11,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.47 : 19,763.72 = 8,354.66 : x
  2. Step 2: Convert to fraction form
    14,322.47/19,763.72 = 8,354.66/x
  3. Step 3: Cross multiply
    14,322.47x = 19,763.72 × 8,354.66
  4. Step 4: Simplify right side
    14,322.47x = 165,119,119.16
  5. Step 5: Solve for x
    x = 165,119,119.16/14,322.47
  6. Step 6: Final answer
    x = 11,528.68

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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.