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Finding the Fourth Proportional to 22,702.14, 31,328.10 and 12,630.96

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Solution

The fourth proportional to 22,702.14, 31,328.10 and 12,630.96 is: 17,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.14 : 31,328.10 = 12,630.96 : x
  2. Step 2: Convert to fraction form
    22,702.14/31,328.10 = 12,630.96/x
  3. Step 3: Cross multiply
    22,702.14x = 31,328.10 × 12,630.96
  4. Step 4: Simplify right side
    22,702.14x = 395,703,977.98
  5. Step 5: Solve for x
    x = 395,703,977.98/22,702.14
  6. Step 6: Final answer
    x = 17,430.25

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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.