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Finding the Fourth Proportional to 24,006.40, 36,009.63 and 6,476.25

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Solution

The fourth proportional to 24,006.40, 36,009.63 and 6,476.25 is: 9,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006.40 : 36,009.63 = 6,476.25 : x
  2. Step 2: Convert to fraction form
    24,006.40/36,009.63 = 6,476.25/x
  3. Step 3: Cross multiply
    24,006.40x = 36,009.63 × 6,476.25
  4. Step 4: Simplify right side
    24,006.40x = 233,207,186.24
  5. Step 5: Solve for x
    x = 233,207,186.24/24,006.40
  6. Step 6: Final answer
    x = 9,714.38

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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.