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Finding the Fourth Proportional to 14,282.13, 19,707 and 8,973.20

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Solution

The fourth proportional to 14,282.13, 19,707 and 8,973.20 is: 12,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.13 : 19,707 = 8,973.20 : x
  2. Step 2: Convert to fraction form
    14,282.13/19,707 = 8,973.20/x
  3. Step 3: Cross multiply
    14,282.13x = 19,707 × 8,973.20
  4. Step 4: Simplify right side
    14,282.13x = 176,834,753.87
  5. Step 5: Solve for x
    x = 176,834,753.87/14,282.13
  6. Step 6: Final answer
    x = 12,381.54

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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.