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Finding the Fourth Proportional to 16,284.50, 22,465.02 and 9,567.98

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Solution

The fourth proportional to 16,284.50, 22,465.02 and 9,567.98 is: 13,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.50 : 22,465.02 = 9,567.98 : x
  2. Step 2: Convert to fraction form
    16,284.50/22,465.02 = 9,567.98/x
  3. Step 3: Cross multiply
    16,284.50x = 22,465.02 × 9,567.98
  4. Step 4: Simplify right side
    16,284.50x = 214,944,862.06
  5. Step 5: Solve for x
    x = 214,944,862.06/16,284.50
  6. Step 6: Final answer
    x = 13,199.35

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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.