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Finding the Fourth Proportional to 30,005.13, 41,407.07 and 17,430.69

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Solution

The fourth proportional to 30,005.13, 41,407.07 and 17,430.69 is: 24,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.13 : 41,407.07 = 17,430.69 : x
  2. Step 2: Convert to fraction form
    30,005.13/41,407.07 = 17,430.69/x
  3. Step 3: Cross multiply
    30,005.13x = 41,407.07 × 17,430.69
  4. Step 4: Simplify right side
    30,005.13x = 721,753,637.52
  5. Step 5: Solve for x
    x = 721,753,637.52/30,005.13
  6. Step 6: Final answer
    x = 24,054.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.