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Finding the Fourth Proportional to 30,426.41, 45,643.94 and 9,368.20

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Solution

The fourth proportional to 30,426.41, 45,643.94 and 9,368.20 is: 14,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,426.41 : 45,643.94 = 9,368.20 : x
  2. Step 2: Convert to fraction form
    30,426.41/45,643.94 = 9,368.20/x
  3. Step 3: Cross multiply
    30,426.41x = 45,643.94 × 9,368.20
  4. Step 4: Simplify right side
    30,426.41x = 427,601,558.71
  5. Step 5: Solve for x
    x = 427,601,558.71/30,426.41
  6. Step 6: Final answer
    x = 14,053.63

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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.