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Finding the Fourth Proportional to 23,328.64, 34,967.04 and 9,285

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Solution

The fourth proportional to 23,328.64, 34,967.04 and 9,285 is: 13,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,328.64 : 34,967.04 = 9,285 : x
  2. Step 2: Convert to fraction form
    23,328.64/34,967.04 = 9,285/x
  3. Step 3: Cross multiply
    23,328.64x = 34,967.04 × 9,285
  4. Step 4: Simplify right side
    23,328.64x = 324,668,966.40
  5. Step 5: Solve for x
    x = 324,668,966.40/23,328.64
  6. Step 6: Final answer
    x = 13,917.18

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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.