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Finding the Fourth Proportional to 15,828.96, 21,848.28 and 9,857.10

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Solution

The fourth proportional to 15,828.96, 21,848.28 and 9,857.10 is: 13,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.96 : 21,848.28 = 9,857.10 : x
  2. Step 2: Convert to fraction form
    15,828.96/21,848.28 = 9,857.10/x
  3. Step 3: Cross multiply
    15,828.96x = 21,848.28 × 9,857.10
  4. Step 4: Simplify right side
    15,828.96x = 215,360,680.79
  5. Step 5: Solve for x
    x = 215,360,680.79/15,828.96
  6. Step 6: Final answer
    x = 13,605.49

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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.