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Finding the Fourth Proportional to 16,506, 24,756.12 and 6,642.72

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Solution

The fourth proportional to 16,506, 24,756.12 and 6,642.72 is: 9,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506 : 24,756.12 = 6,642.72 : x
  2. Step 2: Convert to fraction form
    16,506/24,756.12 = 6,642.72/x
  3. Step 3: Cross multiply
    16,506x = 24,756.12 × 6,642.72
  4. Step 4: Simplify right side
    16,506x = 164,447,973.45
  5. Step 5: Solve for x
    x = 164,447,973.45/16,506
  6. Step 6: Final answer
    x = 9,962.92

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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.