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Finding the Fourth Proportional to 38,875.84, 58,299.48 and 13,909.12

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Solution

The fourth proportional to 38,875.84, 58,299.48 and 13,909.12 is: 20,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,875.84 : 58,299.48 = 13,909.12 : x
  2. Step 2: Convert to fraction form
    38,875.84/58,299.48 = 13,909.12/x
  3. Step 3: Cross multiply
    38,875.84x = 58,299.48 × 13,909.12
  4. Step 4: Simplify right side
    38,875.84x = 810,894,463.26
  5. Step 5: Solve for x
    x = 810,894,463.26/38,875.84
  6. Step 6: Final answer
    x = 20,858.57

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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.