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Finding the Fourth Proportional to 14,312.69, 19,751.71 and 8,646.65

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Solution

The fourth proportional to 14,312.69, 19,751.71 and 8,646.65 is: 11,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.69 : 19,751.71 = 8,646.65 : x
  2. Step 2: Convert to fraction form
    14,312.69/19,751.71 = 8,646.65/x
  3. Step 3: Cross multiply
    14,312.69x = 19,751.71 × 8,646.65
  4. Step 4: Simplify right side
    14,312.69x = 170,786,002.90
  5. Step 5: Solve for x
    x = 170,786,002.90/14,312.69
  6. Step 6: Final answer
    x = 11,932.49

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