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Finding the Fourth Proportional to 16,536.40, 24,807.02 and 4,848.08

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Solution

The fourth proportional to 16,536.40, 24,807.02 and 4,848.08 is: 7,272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.40 : 24,807.02 = 4,848.08 : x
  2. Step 2: Convert to fraction form
    16,536.40/24,807.02 = 4,848.08/x
  3. Step 3: Cross multiply
    16,536.40x = 24,807.02 × 4,848.08
  4. Step 4: Simplify right side
    16,536.40x = 120,266,417.52
  5. Step 5: Solve for x
    x = 120,266,417.52/16,536.40
  6. Step 6: Final answer
    x = 7,272.83

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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.