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Finding the Fourth Proportional to 22,577.90, 33,870 and 9,427.28

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Solution

The fourth proportional to 22,577.90, 33,870 and 9,427.28 is: 14,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.90 : 33,870 = 9,427.28 : x
  2. Step 2: Convert to fraction form
    22,577.90/33,870 = 9,427.28/x
  3. Step 3: Cross multiply
    22,577.90x = 33,870 × 9,427.28
  4. Step 4: Simplify right side
    22,577.90x = 319,301,973.60
  5. Step 5: Solve for x
    x = 319,301,973.60/22,577.90
  6. Step 6: Final answer
    x = 14,142.24

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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.