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Finding the Fourth Proportional to 15,678.84, 23,513.94 and 11,259.48

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Solution

The fourth proportional to 15,678.84, 23,513.94 and 11,259.48 is: 16,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.84 : 23,513.94 = 11,259.48 : x
  2. Step 2: Convert to fraction form
    15,678.84/23,513.94 = 11,259.48/x
  3. Step 3: Cross multiply
    15,678.84x = 23,513.94 × 11,259.48
  4. Step 4: Simplify right side
    15,678.84x = 264,754,737.15
  5. Step 5: Solve for x
    x = 264,754,737.15/15,678.84
  6. Step 6: Final answer
    x = 16,886.12

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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.