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Finding the Fourth Proportional to 25,596.48, 38,376.53 and 9,788.20

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Solution

The fourth proportional to 25,596.48, 38,376.53 and 9,788.20 is: 14,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.48 : 38,376.53 = 9,788.20 : x
  2. Step 2: Convert to fraction form
    25,596.48/38,376.53 = 9,788.20/x
  3. Step 3: Cross multiply
    25,596.48x = 38,376.53 × 9,788.20
  4. Step 4: Simplify right side
    25,596.48x = 375,637,042.77
  5. Step 5: Solve for x
    x = 375,637,042.77/25,596.48
  6. Step 6: Final answer
    x = 14,675.34

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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.