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Finding the Fourth Proportional to 30,916.68, 42,661.14 and 18,339

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Solution

The fourth proportional to 30,916.68, 42,661.14 and 18,339 is: 25,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916.68 : 42,661.14 = 18,339 : x
  2. Step 2: Convert to fraction form
    30,916.68/42,661.14 = 18,339/x
  3. Step 3: Cross multiply
    30,916.68x = 42,661.14 × 18,339
  4. Step 4: Simplify right side
    30,916.68x = 782,362,646.46
  5. Step 5: Solve for x
    x = 782,362,646.46/30,916.68
  6. Step 6: Final answer
    x = 25,305.52

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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.