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Finding the Fourth Proportional to 16,707.86, 23,048.10 and 10,332.42

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Solution

The fourth proportional to 16,707.86, 23,048.10 and 10,332.42 is: 14,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,707.86 : 23,048.10 = 10,332.42 : x
  2. Step 2: Convert to fraction form
    16,707.86/23,048.10 = 10,332.42/x
  3. Step 3: Cross multiply
    16,707.86x = 23,048.10 × 10,332.42
  4. Step 4: Simplify right side
    16,707.86x = 238,142,649.40
  5. Step 5: Solve for x
    x = 238,142,649.40/16,707.86
  6. Step 6: Final answer
    x = 14,253.33

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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.