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Finding the Fourth Proportional to 24,412.32, 36,618.47 and 7,777.45

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Solution

The fourth proportional to 24,412.32, 36,618.47 and 7,777.45 is: 11,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,412.32 : 36,618.47 = 7,777.45 : x
  2. Step 2: Convert to fraction form
    24,412.32/36,618.47 = 7,777.45/x
  3. Step 3: Cross multiply
    24,412.32x = 36,618.47 × 7,777.45
  4. Step 4: Simplify right side
    24,412.32x = 284,798,319.50
  5. Step 5: Solve for x
    x = 284,798,319.50/24,412.32
  6. Step 6: Final answer
    x = 11,666.17

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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.