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Finding the Fourth Proportional to 30,924.60, 46,390.59 and 9,857.34

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Solution

The fourth proportional to 30,924.60, 46,390.59 and 9,857.34 is: 14,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.60 : 46,390.59 = 9,857.34 : x
  2. Step 2: Convert to fraction form
    30,924.60/46,390.59 = 9,857.34/x
  3. Step 3: Cross multiply
    30,924.60x = 46,390.59 × 9,857.34
  4. Step 4: Simplify right side
    30,924.60x = 457,287,818.43
  5. Step 5: Solve for x
    x = 457,287,818.43/30,924.60
  6. Step 6: Final answer
    x = 14,787.19

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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.