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Finding the Fourth Proportional to 38,971.65, 58,462.65 and 12,667.53

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Solution

The fourth proportional to 38,971.65, 58,462.65 and 12,667.53 is: 19,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971.65 : 58,462.65 = 12,667.53 : x
  2. Step 2: Convert to fraction form
    38,971.65/58,462.65 = 12,667.53/x
  3. Step 3: Cross multiply
    38,971.65x = 58,462.65 × 12,667.53
  4. Step 4: Simplify right side
    38,971.65x = 740,577,372.75
  5. Step 5: Solve for x
    x = 740,577,372.75/38,971.65
  6. Step 6: Final answer
    x = 19,002.98

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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.