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Finding the Fourth Proportional to 22,702.16, 34,010.30 and 12,848.51

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Solution

The fourth proportional to 22,702.16, 34,010.30 and 12,848.51 is: 19,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.16 : 34,010.30 = 12,848.51 : x
  2. Step 2: Convert to fraction form
    22,702.16/34,010.30 = 12,848.51/x
  3. Step 3: Cross multiply
    22,702.16x = 34,010.30 × 12,848.51
  4. Step 4: Simplify right side
    22,702.16x = 436,981,445.36
  5. Step 5: Solve for x
    x = 436,981,445.36/22,702.16
  6. Step 6: Final answer
    x = 19,248.46

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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.