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Finding the Fourth Proportional to 10,905.70, 16,322.10 and 10,030.90

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Solution

The fourth proportional to 10,905.70, 16,322.10 and 10,030.90 is: 15,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.70 : 16,322.10 = 10,030.90 : x
  2. Step 2: Convert to fraction form
    10,905.70/16,322.10 = 10,030.90/x
  3. Step 3: Cross multiply
    10,905.70x = 16,322.10 × 10,030.90
  4. Step 4: Simplify right side
    10,905.70x = 163,725,352.89
  5. Step 5: Solve for x
    x = 163,725,352.89/10,905.70
  6. Step 6: Final answer
    x = 15,012.82

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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.