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Finding the Fourth Proportional to 12,053.02, 16,635.09 and 9,214.93

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Solution

The fourth proportional to 12,053.02, 16,635.09 and 9,214.93 is: 12,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.02 : 16,635.09 = 9,214.93 : x
  2. Step 2: Convert to fraction form
    12,053.02/16,635.09 = 9,214.93/x
  3. Step 3: Cross multiply
    12,053.02x = 16,635.09 × 9,214.93
  4. Step 4: Simplify right side
    12,053.02x = 153,291,189.89
  5. Step 5: Solve for x
    x = 153,291,189.89/12,053.02
  6. Step 6: Final answer
    x = 12,718.07

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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.