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Finding the Fourth Proportional to 16,122.30, 24,210.72 and 9,894.78

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Solution

The fourth proportional to 16,122.30, 24,210.72 and 9,894.78 is: 14,858.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.30 : 24,210.72 = 9,894.78 : x
  2. Step 2: Convert to fraction form
    16,122.30/24,210.72 = 9,894.78/x
  3. Step 3: Cross multiply
    16,122.30x = 24,210.72 × 9,894.78
  4. Step 4: Simplify right side
    16,122.30x = 239,559,748.04
  5. Step 5: Solve for x
    x = 239,559,748.04/16,122.30
  6. Step 6: Final answer
    x = 14,858.91

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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.