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Finding the Fourth Proportional to 24,338.55, 36,509.88 and 7,698.22

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Solution

The fourth proportional to 24,338.55, 36,509.88 and 7,698.22 is: 11,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338.55 : 36,509.88 = 7,698.22 : x
  2. Step 2: Convert to fraction form
    24,338.55/36,509.88 = 7,698.22/x
  3. Step 3: Cross multiply
    24,338.55x = 36,509.88 × 7,698.22
  4. Step 4: Simplify right side
    24,338.55x = 281,061,088.41
  5. Step 5: Solve for x
    x = 281,061,088.41/24,338.55
  6. Step 6: Final answer
    x = 11,547.98

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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.