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Finding the Fourth Proportional to 16,782.10, 23,153.53 and 10,406.40

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Solution

The fourth proportional to 16,782.10, 23,153.53 and 10,406.40 is: 14,357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.10 : 23,153.53 = 10,406.40 : x
  2. Step 2: Convert to fraction form
    16,782.10/23,153.53 = 10,406.40/x
  3. Step 3: Cross multiply
    16,782.10x = 23,153.53 × 10,406.40
  4. Step 4: Simplify right side
    16,782.10x = 240,944,894.59
  5. Step 5: Solve for x
    x = 240,944,894.59/16,782.10
  6. Step 6: Final answer
    x = 14,357.26

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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.