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Finding the Fourth Proportional to 15,828.30, 23,742.45 and 9,923.40

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Solution

The fourth proportional to 15,828.30, 23,742.45 and 9,923.40 is: 14,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.30 : 23,742.45 = 9,923.40 : x
  2. Step 2: Convert to fraction form
    15,828.30/23,742.45 = 9,923.40/x
  3. Step 3: Cross multiply
    15,828.30x = 23,742.45 × 9,923.40
  4. Step 4: Simplify right side
    15,828.30x = 235,605,828.33
  5. Step 5: Solve for x
    x = 235,605,828.33/15,828.30
  6. Step 6: Final answer
    x = 14,885.10

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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.