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Finding the Fourth Proportional to 22,442.84, 30,970.86 and 13,012.28

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Solution

The fourth proportional to 22,442.84, 30,970.86 and 13,012.28 is: 17,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.84 : 30,970.86 = 13,012.28 : x
  2. Step 2: Convert to fraction form
    22,442.84/30,970.86 = 13,012.28/x
  3. Step 3: Cross multiply
    22,442.84x = 30,970.86 × 13,012.28
  4. Step 4: Simplify right side
    22,442.84x = 403,001,502.16
  5. Step 5: Solve for x
    x = 403,001,502.16/22,442.84
  6. Step 6: Final answer
    x = 17,956.80

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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.