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Finding the Fourth Proportional to 14,848.40, 20,492.52 and 8,561

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Solution

The fourth proportional to 14,848.40, 20,492.52 and 8,561 is: 11,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,848.40 : 20,492.52 = 8,561 : x
  2. Step 2: Convert to fraction form
    14,848.40/20,492.52 = 8,561/x
  3. Step 3: Cross multiply
    14,848.40x = 20,492.52 × 8,561
  4. Step 4: Simplify right side
    14,848.40x = 175,436,463.72
  5. Step 5: Solve for x
    x = 175,436,463.72/14,848.40
  6. Step 6: Final answer
    x = 11,815.18

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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.