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Finding the Fourth Proportional to 15,907.62, 23,823.09 and 9,314.22

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Solution

The fourth proportional to 15,907.62, 23,823.09 and 9,314.22 is: 13,948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.62 : 23,823.09 = 9,314.22 : x
  2. Step 2: Convert to fraction form
    15,907.62/23,823.09 = 9,314.22/x
  3. Step 3: Cross multiply
    15,907.62x = 23,823.09 × 9,314.22
  4. Step 4: Simplify right side
    15,907.62x = 221,893,501.34
  5. Step 5: Solve for x
    x = 221,893,501.34/15,907.62
  6. Step 6: Final answer
    x = 13,948.88

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1.5x scale

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.