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Finding the Fourth Proportional to 16,407.85, 24,582.06 and 7,530.59

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Solution

The fourth proportional to 16,407.85, 24,582.06 and 7,530.59 is: 11,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.85 : 24,582.06 = 7,530.59 : x
  2. Step 2: Convert to fraction form
    16,407.85/24,582.06 = 7,530.59/x
  3. Step 3: Cross multiply
    16,407.85x = 24,582.06 × 7,530.59
  4. Step 4: Simplify right side
    16,407.85x = 185,117,415.22
  5. Step 5: Solve for x
    x = 185,117,415.22/16,407.85
  6. Step 6: Final answer
    x = 11,282.25

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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.