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Finding the Fourth Proportional to 16,557.68, 22,844.00 and 9,386.82

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Solution

The fourth proportional to 16,557.68, 22,844.00 and 9,386.82 is: 12,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,557.68 : 22,844.00 = 9,386.82 : x
  2. Step 2: Convert to fraction form
    16,557.68/22,844.00 = 9,386.82/x
  3. Step 3: Cross multiply
    16,557.68x = 22,844.00 × 9,386.82
  4. Step 4: Simplify right side
    16,557.68x = 214,432,539.55
  5. Step 5: Solve for x
    x = 214,432,539.55/16,557.68
  6. Step 6: Final answer
    x = 12,950.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.