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Finding the Fourth Proportional to 16,562.78, 22,864.10 and 10,900.50

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Solution

The fourth proportional to 16,562.78, 22,864.10 and 10,900.50 is: 15,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.78 : 22,864.10 = 10,900.50 : x
  2. Step 2: Convert to fraction form
    16,562.78/22,864.10 = 10,900.50/x
  3. Step 3: Cross multiply
    16,562.78x = 22,864.10 × 10,900.50
  4. Step 4: Simplify right side
    16,562.78x = 249,230,076.77
  5. Step 5: Solve for x
    x = 249,230,076.77/16,562.78
  6. Step 6: Final answer
    x = 15,047.60

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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.