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Finding the Fourth Proportional to 22,970.53, 31,702.27 and 14,016.13

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Solution

The fourth proportional to 22,970.53, 31,702.27 and 14,016.13 is: 19,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.53 : 31,702.27 = 14,016.13 : x
  2. Step 2: Convert to fraction form
    22,970.53/31,702.27 = 14,016.13/x
  3. Step 3: Cross multiply
    22,970.53x = 31,702.27 × 14,016.13
  4. Step 4: Simplify right side
    22,970.53x = 444,343,137.62
  5. Step 5: Solve for x
    x = 444,343,137.62/22,970.53
  6. Step 6: Final answer
    x = 19,344.05

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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.