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Finding the Fourth Proportional to 21,013.21, 31,533.18 and 9,920.26

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Solution

The fourth proportional to 21,013.21, 31,533.18 and 9,920.26 is: 14,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.21 : 31,533.18 = 9,920.26 : x
  2. Step 2: Convert to fraction form
    21,013.21/31,533.18 = 9,920.26/x
  3. Step 3: Cross multiply
    21,013.21x = 31,533.18 × 9,920.26
  4. Step 4: Simplify right side
    21,013.21x = 312,817,344.23
  5. Step 5: Solve for x
    x = 312,817,344.23/21,013.21
  6. Step 6: Final answer
    x = 14,886.70

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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.