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Finding the Fourth Proportional to 14,323.36, 19,767.96 and 9,018

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Solution

The fourth proportional to 14,323.36, 19,767.96 and 9,018 is: 12,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.36 : 19,767.96 = 9,018 : x
  2. Step 2: Convert to fraction form
    14,323.36/19,767.96 = 9,018/x
  3. Step 3: Cross multiply
    14,323.36x = 19,767.96 × 9,018
  4. Step 4: Simplify right side
    14,323.36x = 178,267,463.28
  5. Step 5: Solve for x
    x = 178,267,463.28/14,323.36
  6. Step 6: Final answer
    x = 12,445.92

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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.