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Finding the Fourth Proportional to 21,185.16, 31,788 and 8,714.40

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Solution

The fourth proportional to 21,185.16, 31,788 and 8,714.40 is: 13,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,185.16 : 31,788 = 8,714.40 : x
  2. Step 2: Convert to fraction form
    21,185.16/31,788 = 8,714.40/x
  3. Step 3: Cross multiply
    21,185.16x = 31,788 × 8,714.40
  4. Step 4: Simplify right side
    21,185.16x = 277,013,347.20
  5. Step 5: Solve for x
    x = 277,013,347.20/21,185.16
  6. Step 6: Final answer
    x = 13,075.82

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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.