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Finding the Fourth Proportional to 16,776.99, 23,154.93 and 9,707.31

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Solution

The fourth proportional to 16,776.99, 23,154.93 and 9,707.31 is: 13,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776.99 : 23,154.93 = 9,707.31 : x
  2. Step 2: Convert to fraction form
    16,776.99/23,154.93 = 9,707.31/x
  3. Step 3: Cross multiply
    16,776.99x = 23,154.93 × 9,707.31
  4. Step 4: Simplify right side
    16,776.99x = 224,772,083.54
  5. Step 5: Solve for x
    x = 224,772,083.54/16,776.99
  6. Step 6: Final answer
    x = 13,397.64

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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.