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Finding the Fourth Proportional to 15,713.51, 21,685.68 and 9,000.05

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Solution

The fourth proportional to 15,713.51, 21,685.68 and 9,000.05 is: 12,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.51 : 21,685.68 = 9,000.05 : x
  2. Step 2: Convert to fraction form
    15,713.51/21,685.68 = 9,000.05/x
  3. Step 3: Cross multiply
    15,713.51x = 21,685.68 × 9,000.05
  4. Step 4: Simplify right side
    15,713.51x = 195,172,095.86
  5. Step 5: Solve for x
    x = 195,172,095.86/15,713.51
  6. Step 6: Final answer
    x = 12,420.66

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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.