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Finding the Fourth Proportional to 24,210.44, 36,316.68 and 7,570.79

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Solution

The fourth proportional to 24,210.44, 36,316.68 and 7,570.79 is: 11,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,210.44 : 36,316.68 = 7,570.79 : x
  2. Step 2: Convert to fraction form
    24,210.44/36,316.68 = 7,570.79/x
  3. Step 3: Cross multiply
    24,210.44x = 36,316.68 × 7,570.79
  4. Step 4: Simplify right side
    24,210.44x = 274,945,776.19
  5. Step 5: Solve for x
    x = 274,945,776.19/24,210.44
  6. Step 6: Final answer
    x = 11,356.50

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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.