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Finding the Fourth Proportional to 24,364, 36,547.20 and 7,948

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Solution

The fourth proportional to 24,364, 36,547.20 and 7,948 is: 11,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,364 : 36,547.20 = 7,948 : x
  2. Step 2: Convert to fraction form
    24,364/36,547.20 = 7,948/x
  3. Step 3: Cross multiply
    24,364x = 36,547.20 × 7,948
  4. Step 4: Simplify right side
    24,364x = 290,477,145.60
  5. Step 5: Solve for x
    x = 290,477,145.60/24,364
  6. Step 6: Final answer
    x = 11,922.39

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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.