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Finding the Fourth Proportional to 17,980.95, 26,973.27 and 6,897

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Solution

The fourth proportional to 17,980.95, 26,973.27 and 6,897 is: 10,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.95 : 26,973.27 = 6,897 : x
  2. Step 2: Convert to fraction form
    17,980.95/26,973.27 = 6,897/x
  3. Step 3: Cross multiply
    17,980.95x = 26,973.27 × 6,897
  4. Step 4: Simplify right side
    17,980.95x = 186,034,643.19
  5. Step 5: Solve for x
    x = 186,034,643.19/17,980.95
  6. Step 6: Final answer
    x = 10,346.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.