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Finding the Fourth Proportional to 23,470.96, 35,214.54 and 14,695.42

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Solution

The fourth proportional to 23,470.96, 35,214.54 and 14,695.42 is: 22,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.96 : 35,214.54 = 14,695.42 : x
  2. Step 2: Convert to fraction form
    23,470.96/35,214.54 = 14,695.42/x
  3. Step 3: Cross multiply
    23,470.96x = 35,214.54 × 14,695.42
  4. Step 4: Simplify right side
    23,470.96x = 517,492,455.41
  5. Step 5: Solve for x
    x = 517,492,455.41/23,470.96
  6. Step 6: Final answer
    x = 22,048.20

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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.