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Finding the Fourth Proportional to 30,426.35, 45,643.84 and 9,368.14

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Solution

The fourth proportional to 30,426.35, 45,643.84 and 9,368.14 is: 14,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,426.35 : 45,643.84 = 9,368.14 : x
  2. Step 2: Convert to fraction form
    30,426.35/45,643.84 = 9,368.14/x
  3. Step 3: Cross multiply
    30,426.35x = 45,643.84 × 9,368.14
  4. Step 4: Simplify right side
    30,426.35x = 427,597,664.26
  5. Step 5: Solve for x
    x = 427,597,664.26/30,426.35
  6. Step 6: Final answer
    x = 14,053.53

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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.