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Finding the Fourth Proportional to 25,477.33, 38,207.35 and 9,678.55

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Solution

The fourth proportional to 25,477.33, 38,207.35 and 9,678.55 is: 14,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.33 : 38,207.35 = 9,678.55 : x
  2. Step 2: Convert to fraction form
    25,477.33/38,207.35 = 9,678.55/x
  3. Step 3: Cross multiply
    25,477.33x = 38,207.35 × 9,678.55
  4. Step 4: Simplify right side
    25,477.33x = 369,791,698.95
  5. Step 5: Solve for x
    x = 369,791,698.95/25,477.33
  6. Step 6: Final answer
    x = 14,514.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.