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Finding the Fourth Proportional to 14,587.84, 21,848.92 and 10,224.78

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Solution

The fourth proportional to 14,587.84, 21,848.92 and 10,224.78 is: 15,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.84 : 21,848.92 = 10,224.78 : x
  2. Step 2: Convert to fraction form
    14,587.84/21,848.92 = 10,224.78/x
  3. Step 3: Cross multiply
    14,587.84x = 21,848.92 × 10,224.78
  4. Step 4: Simplify right side
    14,587.84x = 223,400,400.24
  5. Step 5: Solve for x
    x = 223,400,400.24/14,587.84
  6. Step 6: Final answer
    x = 15,314.15

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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.