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Finding the Fourth Proportional to 15,394.35, 23,054.87 and 9,830.46

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Solution

The fourth proportional to 15,394.35, 23,054.87 and 9,830.46 is: 14,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,394.35 : 23,054.87 = 9,830.46 : x
  2. Step 2: Convert to fraction form
    15,394.35/23,054.87 = 9,830.46/x
  3. Step 3: Cross multiply
    15,394.35x = 23,054.87 × 9,830.46
  4. Step 4: Simplify right side
    15,394.35x = 226,639,812.91
  5. Step 5: Solve for x
    x = 226,639,812.91/15,394.35
  6. Step 6: Final answer
    x = 14,722.28

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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.