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Finding the Fourth Proportional to 19,058.88, 26,283.68 and 13,080

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Solution

The fourth proportional to 19,058.88, 26,283.68 and 13,080 is: 18,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,058.88 : 26,283.68 = 13,080 : x
  2. Step 2: Convert to fraction form
    19,058.88/26,283.68 = 13,080/x
  3. Step 3: Cross multiply
    19,058.88x = 26,283.68 × 13,080
  4. Step 4: Simplify right side
    19,058.88x = 343,790,534.40
  5. Step 5: Solve for x
    x = 343,790,534.40/19,058.88
  6. Step 6: Final answer
    x = 18,038.34

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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.