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Finding the Fourth Proportional to 24,535.03, 36,804.78 and 7,890.95

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Solution

The fourth proportional to 24,535.03, 36,804.78 and 7,890.95 is: 11,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535.03 : 36,804.78 = 7,890.95 : x
  2. Step 2: Convert to fraction form
    24,535.03/36,804.78 = 7,890.95/x
  3. Step 3: Cross multiply
    24,535.03x = 36,804.78 × 7,890.95
  4. Step 4: Simplify right side
    24,535.03x = 290,424,678.74
  5. Step 5: Solve for x
    x = 290,424,678.74/24,535.03
  6. Step 6: Final answer
    x = 11,837.14

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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.