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Finding the Fourth Proportional to 19,233.84, 28,831.98 and 9,878.34

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Solution

The fourth proportional to 19,233.84, 28,831.98 and 9,878.34 is: 14,807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,233.84 : 28,831.98 = 9,878.34 : x
  2. Step 2: Convert to fraction form
    19,233.84/28,831.98 = 9,878.34/x
  3. Step 3: Cross multiply
    19,233.84x = 28,831.98 × 9,878.34
  4. Step 4: Simplify right side
    19,233.84x = 284,812,101.31
  5. Step 5: Solve for x
    x = 284,812,101.31/19,233.84
  6. Step 6: Final answer
    x = 14,807.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.