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Finding the Fourth Proportional to 16,577, 24,875.26 and 7,343.08

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Solution

The fourth proportional to 16,577, 24,875.26 and 7,343.08 is: 11,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577 : 24,875.26 = 7,343.08 : x
  2. Step 2: Convert to fraction form
    16,577/24,875.26 = 7,343.08/x
  3. Step 3: Cross multiply
    16,577x = 24,875.26 × 7,343.08
  4. Step 4: Simplify right side
    16,577x = 182,661,024.20
  5. Step 5: Solve for x
    x = 182,661,024.20/16,577
  6. Step 6: Final answer
    x = 11,018.94

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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.