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Finding the Fourth Proportional to 25,564.40, 38,302.80 and 20,315.60

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Solution

The fourth proportional to 25,564.40, 38,302.80 and 20,315.60 is: 30,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564.40 : 38,302.80 = 20,315.60 : x
  2. Step 2: Convert to fraction form
    25,564.40/38,302.80 = 20,315.60/x
  3. Step 3: Cross multiply
    25,564.40x = 38,302.80 × 20,315.60
  4. Step 4: Simplify right side
    25,564.40x = 778,144,363.68
  5. Step 5: Solve for x
    x = 778,144,363.68/25,564.40
  6. Step 6: Final answer
    x = 30,438.59

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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.