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Finding the Fourth Proportional to 24,488.21, 36,710.78 and 9,707.51

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Solution

The fourth proportional to 24,488.21, 36,710.78 and 9,707.51 is: 14,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,488.21 : 36,710.78 = 9,707.51 : x
  2. Step 2: Convert to fraction form
    24,488.21/36,710.78 = 9,707.51/x
  3. Step 3: Cross multiply
    24,488.21x = 36,710.78 × 9,707.51
  4. Step 4: Simplify right side
    24,488.21x = 356,370,031.87
  5. Step 5: Solve for x
    x = 356,370,031.87/24,488.21
  6. Step 6: Final answer
    x = 14,552.72

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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.