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Finding the Fourth Proportional to 16,340.10, 24,461.55 and 9,762.90

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Solution

The fourth proportional to 16,340.10, 24,461.55 and 9,762.90 is: 14,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.10 : 24,461.55 = 9,762.90 : x
  2. Step 2: Convert to fraction form
    16,340.10/24,461.55 = 9,762.90/x
  3. Step 3: Cross multiply
    16,340.10x = 24,461.55 × 9,762.90
  4. Step 4: Simplify right side
    16,340.10x = 238,815,666.50
  5. Step 5: Solve for x
    x = 238,815,666.50/16,340.10
  6. Step 6: Final answer
    x = 14,615.31

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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.