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Finding the Fourth Proportional to 30,838.71, 42,559.35 and 17,405.07

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Solution

The fourth proportional to 30,838.71, 42,559.35 and 17,405.07 is: 24,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.71 : 42,559.35 = 17,405.07 : x
  2. Step 2: Convert to fraction form
    30,838.71/42,559.35 = 17,405.07/x
  3. Step 3: Cross multiply
    30,838.71x = 42,559.35 × 17,405.07
  4. Step 4: Simplify right side
    30,838.71x = 740,748,465.90
  5. Step 5: Solve for x
    x = 740,748,465.90/30,838.71
  6. Step 6: Final answer
    x = 24,020.09

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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.