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Finding the Fourth Proportional to 16,002.55, 22,075.71 and 10,342.18

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Solution

The fourth proportional to 16,002.55, 22,075.71 and 10,342.18 is: 14,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.55 : 22,075.71 = 10,342.18 : x
  2. Step 2: Convert to fraction form
    16,002.55/22,075.71 = 10,342.18/x
  3. Step 3: Cross multiply
    16,002.55x = 22,075.71 × 10,342.18
  4. Step 4: Simplify right side
    16,002.55x = 228,310,856.07
  5. Step 5: Solve for x
    x = 228,310,856.07/16,002.55
  6. Step 6: Final answer
    x = 14,267.16

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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.