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Finding the Fourth Proportional to 22,970.49, 31,702.08 and 12,899.36

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Solution

The fourth proportional to 22,970.49, 31,702.08 and 12,899.36 is: 17,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.49 : 31,702.08 = 12,899.36 : x
  2. Step 2: Convert to fraction form
    22,970.49/31,702.08 = 12,899.36/x
  3. Step 3: Cross multiply
    22,970.49x = 31,702.08 × 12,899.36
  4. Step 4: Simplify right side
    22,970.49x = 408,936,384.16
  5. Step 5: Solve for x
    x = 408,936,384.16/22,970.49
  6. Step 6: Final answer
    x = 17,802.68

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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.