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Finding the Fourth Proportional to 14,484.93, 21,686.40 and 9,206.87

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Solution

The fourth proportional to 14,484.93, 21,686.40 and 9,206.87 is: 13,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484.93 : 21,686.40 = 9,206.87 : x
  2. Step 2: Convert to fraction form
    14,484.93/21,686.40 = 9,206.87/x
  3. Step 3: Cross multiply
    14,484.93x = 21,686.40 × 9,206.87
  4. Step 4: Simplify right side
    14,484.93x = 199,663,757.14
  5. Step 5: Solve for x
    x = 199,663,757.14/14,484.93
  6. Step 6: Final answer
    x = 13,784.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.