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Finding the Fourth Proportional to 28,742, 39,666.24 and 16,167.68

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Solution

The fourth proportional to 28,742, 39,666.24 and 16,167.68 is: 22,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,742 : 39,666.24 = 16,167.68 : x
  2. Step 2: Convert to fraction form
    28,742/39,666.24 = 16,167.68/x
  3. Step 3: Cross multiply
    28,742x = 39,666.24 × 16,167.68
  4. Step 4: Simplify right side
    28,742x = 641,311,075.12
  5. Step 5: Solve for x
    x = 641,311,075.12/28,742
  6. Step 6: Final answer
    x = 22,312.68

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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.