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Finding the Fourth Proportional to 14,501.65, 20,012.27 and 8,214.02

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Solution

The fourth proportional to 14,501.65, 20,012.27 and 8,214.02 is: 11,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501.65 : 20,012.27 = 8,214.02 : x
  2. Step 2: Convert to fraction form
    14,501.65/20,012.27 = 8,214.02/x
  3. Step 3: Cross multiply
    14,501.65x = 20,012.27 × 8,214.02
  4. Step 4: Simplify right side
    14,501.65x = 164,381,256.59
  5. Step 5: Solve for x
    x = 164,381,256.59/14,501.65
  6. Step 6: Final answer
    x = 11,335.35

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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.