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Finding the Fourth Proportional to 14,756.50, 20,364.24 and 8,470.36

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Solution

The fourth proportional to 14,756.50, 20,364.24 and 8,470.36 is: 11,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.50 : 20,364.24 = 8,470.36 : x
  2. Step 2: Convert to fraction form
    14,756.50/20,364.24 = 8,470.36/x
  3. Step 3: Cross multiply
    14,756.50x = 20,364.24 × 8,470.36
  4. Step 4: Simplify right side
    14,756.50x = 172,492,443.93
  5. Step 5: Solve for x
    x = 172,492,443.93/14,756.50
  6. Step 6: Final answer
    x = 11,689.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.