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Finding the Fourth Proportional to 24,357.52, 36,539.16 and 7,718.32

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Solution

The fourth proportional to 24,357.52, 36,539.16 and 7,718.32 is: 11,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.52 : 36,539.16 = 7,718.32 : x
  2. Step 2: Convert to fraction form
    24,357.52/36,539.16 = 7,718.32/x
  3. Step 3: Cross multiply
    24,357.52x = 36,539.16 × 7,718.32
  4. Step 4: Simplify right side
    24,357.52x = 282,020,929.41
  5. Step 5: Solve for x
    x = 282,020,929.41/24,357.52
  6. Step 6: Final answer
    x = 11,578.39

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1.5x scale

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.