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Finding the Fourth Proportional to 22,327.44, 30,802.03 and 13,827.30

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Solution

The fourth proportional to 22,327.44, 30,802.03 and 13,827.30 is: 19,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,327.44 : 30,802.03 = 13,827.30 : x
  2. Step 2: Convert to fraction form
    22,327.44/30,802.03 = 13,827.30/x
  3. Step 3: Cross multiply
    22,327.44x = 30,802.03 × 13,827.30
  4. Step 4: Simplify right side
    22,327.44x = 425,908,909.42
  5. Step 5: Solve for x
    x = 425,908,909.42/22,327.44
  6. Step 6: Final answer
    x = 19,075.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.