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Finding the Fourth Proportional to 25,502.74, 38,259.51 and 7,973.89

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Solution

The fourth proportional to 25,502.74, 38,259.51 and 7,973.89 is: 11,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,502.74 : 38,259.51 = 7,973.89 : x
  2. Step 2: Convert to fraction form
    25,502.74/38,259.51 = 7,973.89/x
  3. Step 3: Cross multiply
    25,502.74x = 38,259.51 × 7,973.89
  4. Step 4: Simplify right side
    25,502.74x = 305,077,124.19
  5. Step 5: Solve for x
    x = 305,077,124.19/25,502.74
  6. Step 6: Final answer
    x = 11,962.52

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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.