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Finding the Fourth Proportional to 21,394.32, 32,099.70 and 8,911.02

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Solution

The fourth proportional to 21,394.32, 32,099.70 and 8,911.02 is: 13,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.32 : 32,099.70 = 8,911.02 : x
  2. Step 2: Convert to fraction form
    21,394.32/32,099.70 = 8,911.02/x
  3. Step 3: Cross multiply
    21,394.32x = 32,099.70 × 8,911.02
  4. Step 4: Simplify right side
    21,394.32x = 286,041,068.69
  5. Step 5: Solve for x
    x = 286,041,068.69/21,394.32
  6. Step 6: Final answer
    x = 13,369.95

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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.