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Finding the Fourth Proportional to 31,005.36, 46,515.33 and 9,657

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Solution

The fourth proportional to 31,005.36, 46,515.33 and 9,657 is: 14,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.36 : 46,515.33 = 9,657 : x
  2. Step 2: Convert to fraction form
    31,005.36/46,515.33 = 9,657/x
  3. Step 3: Cross multiply
    31,005.36x = 46,515.33 × 9,657
  4. Step 4: Simplify right side
    31,005.36x = 449,198,541.81
  5. Step 5: Solve for x
    x = 449,198,541.81/31,005.36
  6. Step 6: Final answer
    x = 14,487.77

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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.