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Finding the Fourth Proportional to 16,565.46, 22,860.42 and 9,492.30

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Solution

The fourth proportional to 16,565.46, 22,860.42 and 9,492.30 is: 13,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.46 : 22,860.42 = 9,492.30 : x
  2. Step 2: Convert to fraction form
    16,565.46/22,860.42 = 9,492.30/x
  3. Step 3: Cross multiply
    16,565.46x = 22,860.42 × 9,492.30
  4. Step 4: Simplify right side
    16,565.46x = 216,997,964.77
  5. Step 5: Solve for x
    x = 216,997,964.77/16,565.46
  6. Step 6: Final answer
    x = 13,099.42

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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.