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Finding the Fourth Proportional to 24,565.88, 36,848.79 and 7,699.00

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Solution

The fourth proportional to 24,565.88, 36,848.79 and 7,699.00 is: 11,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,565.88 : 36,848.79 = 7,699.00 : x
  2. Step 2: Convert to fraction form
    24,565.88/36,848.79 = 7,699.00/x
  3. Step 3: Cross multiply
    24,565.88x = 36,848.79 × 7,699.00
  4. Step 4: Simplify right side
    24,565.88x = 283,698,778.70
  5. Step 5: Solve for x
    x = 283,698,778.70/24,565.88
  6. Step 6: Final answer
    x = 11,548.49

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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.