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Finding the Fourth Proportional to 12,359.32, 17,058.67 and 9,665.22

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Solution

The fourth proportional to 12,359.32, 17,058.67 and 9,665.22 is: 13,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359.32 : 17,058.67 = 9,665.22 : x
  2. Step 2: Convert to fraction form
    12,359.32/17,058.67 = 9,665.22/x
  3. Step 3: Cross multiply
    12,359.32x = 17,058.67 × 9,665.22
  4. Step 4: Simplify right side
    12,359.32x = 164,875,838.26
  5. Step 5: Solve for x
    x = 164,875,838.26/12,359.32
  6. Step 6: Final answer
    x = 13,340.21

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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.