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Finding the Fourth Proportional to 30,412.38, 45,643.14 and 12,894.51

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Solution

The fourth proportional to 30,412.38, 45,643.14 and 12,894.51 is: 19,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.38 : 45,643.14 = 12,894.51 : x
  2. Step 2: Convert to fraction form
    30,412.38/45,643.14 = 12,894.51/x
  3. Step 3: Cross multiply
    30,412.38x = 45,643.14 × 12,894.51
  4. Step 4: Simplify right side
    30,412.38x = 588,545,632.47
  5. Step 5: Solve for x
    x = 588,545,632.47/30,412.38
  6. Step 6: Final answer
    x = 19,352.18

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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.