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Finding the Fourth Proportional to 30,886.68, 46,329.56 and 9,828

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Solution

The fourth proportional to 30,886.68, 46,329.56 and 9,828 is: 14,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.68 : 46,329.56 = 9,828 : x
  2. Step 2: Convert to fraction form
    30,886.68/46,329.56 = 9,828/x
  3. Step 3: Cross multiply
    30,886.68x = 46,329.56 × 9,828
  4. Step 4: Simplify right side
    30,886.68x = 455,326,915.68
  5. Step 5: Solve for x
    x = 455,326,915.68/30,886.68
  6. Step 6: Final answer
    x = 14,741.85

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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.