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Finding the Fourth Proportional to 17,875.84, 24,672.25 and 10,323.40

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Solution

The fourth proportional to 17,875.84, 24,672.25 and 10,323.40 is: 14,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.84 : 24,672.25 = 10,323.40 : x
  2. Step 2: Convert to fraction form
    17,875.84/24,672.25 = 10,323.40/x
  3. Step 3: Cross multiply
    17,875.84x = 24,672.25 × 10,323.40
  4. Step 4: Simplify right side
    17,875.84x = 254,701,549.39
  5. Step 5: Solve for x
    x = 254,701,549.39/17,875.84
  6. Step 6: Final answer
    x = 14,248.37

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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.