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Finding the Fourth Proportional to 25,988.81, 35,862.50 and 14,654.67

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Solution

The fourth proportional to 25,988.81, 35,862.50 and 14,654.67 is: 20,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,988.81 : 35,862.50 = 14,654.67 : x
  2. Step 2: Convert to fraction form
    25,988.81/35,862.50 = 14,654.67/x
  3. Step 3: Cross multiply
    25,988.81x = 35,862.50 × 14,654.67
  4. Step 4: Simplify right side
    25,988.81x = 525,553,029.60
  5. Step 5: Solve for x
    x = 525,553,029.60/25,988.81
  6. Step 6: Final answer
    x = 20,222.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.