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Finding the Fourth Proportional to 18,585, 27,877.50 and 6,273

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Solution

The fourth proportional to 18,585, 27,877.50 and 6,273 is: 9,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585 : 27,877.50 = 6,273 : x
  2. Step 2: Convert to fraction form
    18,585/27,877.50 = 6,273/x
  3. Step 3: Cross multiply
    18,585x = 27,877.50 × 6,273
  4. Step 4: Simplify right side
    18,585x = 174,875,557.50
  5. Step 5: Solve for x
    x = 174,875,557.50/18,585
  6. Step 6: Final answer
    x = 9,409.50

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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.