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Finding the Fourth Proportional to 16,535.63, 22,820.99 and 10,248

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Solution

The fourth proportional to 16,535.63, 22,820.99 and 10,248 is: 14,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.63 : 22,820.99 = 10,248 : x
  2. Step 2: Convert to fraction form
    16,535.63/22,820.99 = 10,248/x
  3. Step 3: Cross multiply
    16,535.63x = 22,820.99 × 10,248
  4. Step 4: Simplify right side
    16,535.63x = 233,869,454.28
  5. Step 5: Solve for x
    x = 233,869,454.28/16,535.63
  6. Step 6: Final answer
    x = 14,143.37

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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.