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Finding the Fourth Proportional to 16,566.36, 22,862.10 and 9,495

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Solution

The fourth proportional to 16,566.36, 22,862.10 and 9,495 is: 13,103.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.36 : 22,862.10 = 9,495 : x
  2. Step 2: Convert to fraction form
    16,566.36/22,862.10 = 9,495/x
  3. Step 3: Cross multiply
    16,566.36x = 22,862.10 × 9,495
  4. Step 4: Simplify right side
    16,566.36x = 217,075,639.50
  5. Step 5: Solve for x
    x = 217,075,639.50/16,566.36
  6. Step 6: Final answer
    x = 13,103.40

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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.