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Finding the Fourth Proportional to 22,848.50, 34,277.80 and 9,712.10

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Solution

The fourth proportional to 22,848.50, 34,277.80 and 9,712.10 is: 14,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848.50 : 34,277.80 = 9,712.10 : x
  2. Step 2: Convert to fraction form
    22,848.50/34,277.80 = 9,712.10/x
  3. Step 3: Cross multiply
    22,848.50x = 34,277.80 × 9,712.10
  4. Step 4: Simplify right side
    22,848.50x = 332,909,421.38
  5. Step 5: Solve for x
    x = 332,909,421.38/22,848.50
  6. Step 6: Final answer
    x = 14,570.30

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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.