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Finding the Fourth Proportional to 15,827.13, 21,820.89 and 9,848.12

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Solution

The fourth proportional to 15,827.13, 21,820.89 and 9,848.12 is: 13,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.13 : 21,820.89 = 9,848.12 : x
  2. Step 2: Convert to fraction form
    15,827.13/21,820.89 = 9,848.12/x
  3. Step 3: Cross multiply
    15,827.13x = 21,820.89 × 9,848.12
  4. Step 4: Simplify right side
    15,827.13x = 214,894,671.05
  5. Step 5: Solve for x
    x = 214,894,671.05/15,827.13
  6. Step 6: Final answer
    x = 13,577.61

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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.