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Finding the Fourth Proportional to 16,557.42, 22,849.20 and 9,483.84

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Solution

The fourth proportional to 16,557.42, 22,849.20 and 9,483.84 is: 13,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,557.42 : 22,849.20 = 9,483.84 : x
  2. Step 2: Convert to fraction form
    16,557.42/22,849.20 = 9,483.84/x
  3. Step 3: Cross multiply
    16,557.42x = 22,849.20 × 9,483.84
  4. Step 4: Simplify right side
    16,557.42x = 216,698,156.93
  5. Step 5: Solve for x
    x = 216,698,156.93/16,557.42
  6. Step 6: Final answer
    x = 13,087.68

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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.