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Finding the Fourth Proportional to 15,714.85, 21,684.67 and 9,000.07

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Solution

The fourth proportional to 15,714.85, 21,684.67 and 9,000.07 is: 12,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.85 : 21,684.67 = 9,000.07 : x
  2. Step 2: Convert to fraction form
    15,714.85/21,684.67 = 9,000.07/x
  3. Step 3: Cross multiply
    15,714.85x = 21,684.67 × 9,000.07
  4. Step 4: Simplify right side
    15,714.85x = 195,163,618.50
  5. Step 5: Solve for x
    x = 195,163,618.50/15,714.85
  6. Step 6: Final answer
    x = 12,419.06

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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.