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Finding the Fourth Proportional to 21,305.18, 31,957.62 and 6,514.04

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Solution

The fourth proportional to 21,305.18, 31,957.62 and 6,514.04 is: 9,771.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.18 : 31,957.62 = 6,514.04 : x
  2. Step 2: Convert to fraction form
    21,305.18/31,957.62 = 6,514.04/x
  3. Step 3: Cross multiply
    21,305.18x = 31,957.62 × 6,514.04
  4. Step 4: Simplify right side
    21,305.18x = 208,173,055.20
  5. Step 5: Solve for x
    x = 208,173,055.20/21,305.18
  6. Step 6: Final answer
    x = 9,771.01

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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.