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Finding the Fourth Proportional to 25,485.90, 38,222.37 and 7,957.50

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Solution

The fourth proportional to 25,485.90, 38,222.37 and 7,957.50 is: 11,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,485.90 : 38,222.37 = 7,957.50 : x
  2. Step 2: Convert to fraction form
    25,485.90/38,222.37 = 7,957.50/x
  3. Step 3: Cross multiply
    25,485.90x = 38,222.37 × 7,957.50
  4. Step 4: Simplify right side
    25,485.90x = 304,154,509.28
  5. Step 5: Solve for x
    x = 304,154,509.28/25,485.90
  6. Step 6: Final answer
    x = 11,934.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.