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Finding the Fourth Proportional to 20,702.34, 31,054.54 and 5,913.44

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Solution

The fourth proportional to 20,702.34, 31,054.54 and 5,913.44 is: 8,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.34 : 31,054.54 = 5,913.44 : x
  2. Step 2: Convert to fraction form
    20,702.34/31,054.54 = 5,913.44/x
  3. Step 3: Cross multiply
    20,702.34x = 31,054.54 × 5,913.44
  4. Step 4: Simplify right side
    20,702.34x = 183,639,159.02
  5. Step 5: Solve for x
    x = 183,639,159.02/20,702.34
  6. Step 6: Final answer
    x = 8,870.45

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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.