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Finding the Fourth Proportional to 30,597.07, 45,864.03 and 12,838.04

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Solution

The fourth proportional to 30,597.07, 45,864.03 and 12,838.04 is: 19,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.07 : 45,864.03 = 12,838.04 : x
  2. Step 2: Convert to fraction form
    30,597.07/45,864.03 = 12,838.04/x
  3. Step 3: Cross multiply
    30,597.07x = 45,864.03 × 12,838.04
  4. Step 4: Simplify right side
    30,597.07x = 588,804,187.51
  5. Step 5: Solve for x
    x = 588,804,187.51/30,597.07
  6. Step 6: Final answer
    x = 19,243.81

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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.