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Finding the Fourth Proportional to 25,438.50, 38,158.02 and 6,970.50

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Solution

The fourth proportional to 25,438.50, 38,158.02 and 6,970.50 is: 10,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438.50 : 38,158.02 = 6,970.50 : x
  2. Step 2: Convert to fraction form
    25,438.50/38,158.02 = 6,970.50/x
  3. Step 3: Cross multiply
    25,438.50x = 38,158.02 × 6,970.50
  4. Step 4: Simplify right side
    25,438.50x = 265,980,478.41
  5. Step 5: Solve for x
    x = 265,980,478.41/25,438.50
  6. Step 6: Final answer
    x = 10,455.82

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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.