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Finding the Fourth Proportional to 19,204.32, 28,822.32 and 14,848.32

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Solution

The fourth proportional to 19,204.32, 28,822.32 and 14,848.32 is: 22,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,204.32 : 28,822.32 = 14,848.32 : x
  2. Step 2: Convert to fraction form
    19,204.32/28,822.32 = 14,848.32/x
  3. Step 3: Cross multiply
    19,204.32x = 28,822.32 × 14,848.32
  4. Step 4: Simplify right side
    19,204.32x = 427,963,030.50
  5. Step 5: Solve for x
    x = 427,963,030.50/19,204.32
  6. Step 6: Final answer
    x = 22,284.73

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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.