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Finding the Fourth Proportional to 16,460.48, 22,712 and 10,868.16

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Solution

The fourth proportional to 16,460.48, 22,712 and 10,868.16 is: 14,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.48 : 22,712 = 10,868.16 : x
  2. Step 2: Convert to fraction form
    16,460.48/22,712 = 10,868.16/x
  3. Step 3: Cross multiply
    16,460.48x = 22,712 × 10,868.16
  4. Step 4: Simplify right side
    16,460.48x = 246,837,649.92
  5. Step 5: Solve for x
    x = 246,837,649.92/16,460.48
  6. Step 6: Final answer
    x = 14,995.77

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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.