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Finding the Fourth Proportional to 14,052, 19,385.66 and 8,459.76

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Solution

The fourth proportional to 14,052, 19,385.66 and 8,459.76 is: 11,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052 : 19,385.66 = 8,459.76 : x
  2. Step 2: Convert to fraction form
    14,052/19,385.66 = 8,459.76/x
  3. Step 3: Cross multiply
    14,052x = 19,385.66 × 8,459.76
  4. Step 4: Simplify right side
    14,052x = 163,998,031.04
  5. Step 5: Solve for x
    x = 163,998,031.04/14,052
  6. Step 6: Final answer
    x = 11,670.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.