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Finding the Fourth Proportional to 25,047.50, 37,590.30 and 9,267.47

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Solution

The fourth proportional to 25,047.50, 37,590.30 and 9,267.47 is: 13,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,047.50 : 37,590.30 = 9,267.47 : x
  2. Step 2: Convert to fraction form
    25,047.50/37,590.30 = 9,267.47/x
  3. Step 3: Cross multiply
    25,047.50x = 37,590.30 × 9,267.47
  4. Step 4: Simplify right side
    25,047.50x = 348,366,977.54
  5. Step 5: Solve for x
    x = 348,366,977.54/25,047.50
  6. Step 6: Final answer
    x = 13,908.25

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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.