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Finding the Fourth Proportional to 25,588.98, 38,374.90 and 9,790.34

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Solution

The fourth proportional to 25,588.98, 38,374.90 and 9,790.34 is: 14,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,588.98 : 38,374.90 = 9,790.34 : x
  2. Step 2: Convert to fraction form
    25,588.98/38,374.90 = 9,790.34/x
  3. Step 3: Cross multiply
    25,588.98x = 38,374.90 × 9,790.34
  4. Step 4: Simplify right side
    25,588.98x = 375,703,102.12
  5. Step 5: Solve for x
    x = 375,703,102.12/25,588.98
  6. Step 6: Final answer
    x = 14,682.22

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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.