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Finding the Fourth Proportional to 25,459.65, 38,189.48 and 7,929.50

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Solution

The fourth proportional to 25,459.65, 38,189.48 and 7,929.50 is: 11,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,459.65 : 38,189.48 = 7,929.50 : x
  2. Step 2: Convert to fraction form
    25,459.65/38,189.48 = 7,929.50/x
  3. Step 3: Cross multiply
    25,459.65x = 38,189.48 × 7,929.50
  4. Step 4: Simplify right side
    25,459.65x = 302,823,251.07
  5. Step 5: Solve for x
    x = 302,823,251.07/25,459.65
  6. Step 6: Final answer
    x = 11,894.24

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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.