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Finding the Fourth Proportional to 15,904.10, 21,946.02 and 9,191.90

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Solution

The fourth proportional to 15,904.10, 21,946.02 and 9,191.90 is: 12,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,904.10 : 21,946.02 = 9,191.90 : x
  2. Step 2: Convert to fraction form
    15,904.10/21,946.02 = 9,191.90/x
  3. Step 3: Cross multiply
    15,904.10x = 21,946.02 × 9,191.90
  4. Step 4: Simplify right side
    15,904.10x = 201,725,621.24
  5. Step 5: Solve for x
    x = 201,725,621.24/15,904.10
  6. Step 6: Final answer
    x = 12,683.88

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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.