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Finding the Fourth Proportional to 15,298.65, 22,950.06 and 4,769.40

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Solution

The fourth proportional to 15,298.65, 22,950.06 and 4,769.40 is: 7,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298.65 : 22,950.06 = 4,769.40 : x
  2. Step 2: Convert to fraction form
    15,298.65/22,950.06 = 4,769.40/x
  3. Step 3: Cross multiply
    15,298.65x = 22,950.06 × 4,769.40
  4. Step 4: Simplify right side
    15,298.65x = 109,458,016.16
  5. Step 5: Solve for x
    x = 109,458,016.16/15,298.65
  6. Step 6: Final answer
    x = 7,154.75

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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.