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Finding the Fourth Proportional to 15,445.16, 23,167.74 and 6,209

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Solution

The fourth proportional to 15,445.16, 23,167.74 and 6,209 is: 9,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,445.16 : 23,167.74 = 6,209 : x
  2. Step 2: Convert to fraction form
    15,445.16/23,167.74 = 6,209/x
  3. Step 3: Cross multiply
    15,445.16x = 23,167.74 × 6,209
  4. Step 4: Simplify right side
    15,445.16x = 143,848,497.66
  5. Step 5: Solve for x
    x = 143,848,497.66/15,445.16
  6. Step 6: Final answer
    x = 9,313.50

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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.