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Finding the Fourth Proportional to 16,368.90, 24,541.20 and 6,503.10

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Solution

The fourth proportional to 16,368.90, 24,541.20 and 6,503.10 is: 9,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,368.90 : 24,541.20 = 6,503.10 : x
  2. Step 2: Convert to fraction form
    16,368.90/24,541.20 = 6,503.10/x
  3. Step 3: Cross multiply
    16,368.90x = 24,541.20 × 6,503.10
  4. Step 4: Simplify right side
    16,368.90x = 159,593,877.72
  5. Step 5: Solve for x
    x = 159,593,877.72/16,368.90
  6. Step 6: Final answer
    x = 9,749.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.