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Finding the Fourth Proportional to 16,005.18, 22,085.76 and 10,340.16

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Solution

The fourth proportional to 16,005.18, 22,085.76 and 10,340.16 is: 14,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.18 : 22,085.76 = 10,340.16 : x
  2. Step 2: Convert to fraction form
    16,005.18/22,085.76 = 10,340.16/x
  3. Step 3: Cross multiply
    16,005.18x = 22,085.76 × 10,340.16
  4. Step 4: Simplify right side
    16,005.18x = 228,370,292.12
  5. Step 5: Solve for x
    x = 228,370,292.12/16,005.18
  6. Step 6: Final answer
    x = 14,268.52

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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.