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Finding the Fourth Proportional to 14,501.04, 20,010.66 and 8,213

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Solution

The fourth proportional to 14,501.04, 20,010.66 and 8,213 is: 11,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501.04 : 20,010.66 = 8,213 : x
  2. Step 2: Convert to fraction form
    14,501.04/20,010.66 = 8,213/x
  3. Step 3: Cross multiply
    14,501.04x = 20,010.66 × 8,213
  4. Step 4: Simplify right side
    14,501.04x = 164,347,550.58
  5. Step 5: Solve for x
    x = 164,347,550.58/14,501.04
  6. Step 6: Final answer
    x = 11,333.50

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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.