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Finding the Fourth Proportional to 14,769, 22,159.98 and 8,613

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Solution

The fourth proportional to 14,769, 22,159.98 and 8,613 is: 12,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769 : 22,159.98 = 8,613 : x
  2. Step 2: Convert to fraction form
    14,769/22,159.98 = 8,613/x
  3. Step 3: Cross multiply
    14,769x = 22,159.98 × 8,613
  4. Step 4: Simplify right side
    14,769x = 190,863,907.74
  5. Step 5: Solve for x
    x = 190,863,907.74/14,769
  6. Step 6: Final answer
    x = 12,923.28

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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.