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Finding the Fourth Proportional to 10,702.64, 14,673.46 and 10,505.36

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Solution

The fourth proportional to 10,702.64, 14,673.46 and 10,505.36 is: 14,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.64 : 14,673.46 = 10,505.36 : x
  2. Step 2: Convert to fraction form
    10,702.64/14,673.46 = 10,505.36/x
  3. Step 3: Cross multiply
    10,702.64x = 14,673.46 × 10,505.36
  4. Step 4: Simplify right side
    10,702.64x = 154,149,979.75
  5. Step 5: Solve for x
    x = 154,149,979.75/10,702.64
  6. Step 6: Final answer
    x = 14,402.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.