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Finding the Fourth Proportional to 16,656.69, 24,985.08 and 4,969.65

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Solution

The fourth proportional to 16,656.69, 24,985.08 and 4,969.65 is: 7,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,656.69 : 24,985.08 = 4,969.65 : x
  2. Step 2: Convert to fraction form
    16,656.69/24,985.08 = 4,969.65/x
  3. Step 3: Cross multiply
    16,656.69x = 24,985.08 × 4,969.65
  4. Step 4: Simplify right side
    16,656.69x = 124,167,102.82
  5. Step 5: Solve for x
    x = 124,167,102.82/16,656.69
  6. Step 6: Final answer
    x = 7,454.49

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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.