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Finding the Fourth Proportional to 16,854, 23,267.16 and 10,572.72

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Solution

The fourth proportional to 16,854, 23,267.16 and 10,572.72 is: 14,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854 : 23,267.16 = 10,572.72 : x
  2. Step 2: Convert to fraction form
    16,854/23,267.16 = 10,572.72/x
  3. Step 3: Cross multiply
    16,854x = 23,267.16 × 10,572.72
  4. Step 4: Simplify right side
    16,854x = 245,997,167.88
  5. Step 5: Solve for x
    x = 245,997,167.88/16,854
  6. Step 6: Final answer
    x = 14,595.77

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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.