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Finding the Fourth Proportional to 24,370.40, 36,555.24 and 7,730.44

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Solution

The fourth proportional to 24,370.40, 36,555.24 and 7,730.44 is: 11,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,370.40 : 36,555.24 = 7,730.44 : x
  2. Step 2: Convert to fraction form
    24,370.40/36,555.24 = 7,730.44/x
  3. Step 3: Cross multiply
    24,370.40x = 36,555.24 × 7,730.44
  4. Step 4: Simplify right side
    24,370.40x = 282,588,089.51
  5. Step 5: Solve for x
    x = 282,588,089.51/24,370.40
  6. Step 6: Final answer
    x = 11,595.55

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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.