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Finding the Fourth Proportional to 14,562.86, 21,875.40 and 10,429.43

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Solution

The fourth proportional to 14,562.86, 21,875.40 and 10,429.43 is: 15,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.86 : 21,875.40 = 10,429.43 : x
  2. Step 2: Convert to fraction form
    14,562.86/21,875.40 = 10,429.43/x
  3. Step 3: Cross multiply
    14,562.86x = 21,875.40 × 10,429.43
  4. Step 4: Simplify right side
    14,562.86x = 228,147,843.65
  5. Step 5: Solve for x
    x = 228,147,843.65/14,562.86
  6. Step 6: Final answer
    x = 15,666.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.