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Finding the Fourth Proportional to 15,307.20, 22,960.80 and 9,475.20

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Solution

The fourth proportional to 15,307.20, 22,960.80 and 9,475.20 is: 14,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,307.20 : 22,960.80 = 9,475.20 : x
  2. Step 2: Convert to fraction form
    15,307.20/22,960.80 = 9,475.20/x
  3. Step 3: Cross multiply
    15,307.20x = 22,960.80 × 9,475.20
  4. Step 4: Simplify right side
    15,307.20x = 217,558,172.16
  5. Step 5: Solve for x
    x = 217,558,172.16/15,307.20
  6. Step 6: Final answer
    x = 14,212.80

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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.