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Finding the Fourth Proportional to 14,332.62, 19,779.58 and 8,282.66

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Solution

The fourth proportional to 14,332.62, 19,779.58 and 8,282.66 is: 11,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.62 : 19,779.58 = 8,282.66 : x
  2. Step 2: Convert to fraction form
    14,332.62/19,779.58 = 8,282.66/x
  3. Step 3: Cross multiply
    14,332.62x = 19,779.58 × 8,282.66
  4. Step 4: Simplify right side
    14,332.62x = 163,827,395.77
  5. Step 5: Solve for x
    x = 163,827,395.77/14,332.62
  6. Step 6: Final answer
    x = 11,430.39

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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.