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Finding the Fourth Proportional to 25,250, 37,875.02 and 9,667.64

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Solution

The fourth proportional to 25,250, 37,875.02 and 9,667.64 is: 14,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,250 : 37,875.02 = 9,667.64 : x
  2. Step 2: Convert to fraction form
    25,250/37,875.02 = 9,667.64/x
  3. Step 3: Cross multiply
    25,250x = 37,875.02 × 9,667.64
  4. Step 4: Simplify right side
    25,250x = 366,162,058.35
  5. Step 5: Solve for x
    x = 366,162,058.35/25,250
  6. Step 6: Final answer
    x = 14,501.47

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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.