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Finding the Fourth Proportional to 14,019.52, 19,346.88 and 7,732

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Solution

The fourth proportional to 14,019.52, 19,346.88 and 7,732 is: 10,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.52 : 19,346.88 = 7,732 : x
  2. Step 2: Convert to fraction form
    14,019.52/19,346.88 = 7,732/x
  3. Step 3: Cross multiply
    14,019.52x = 19,346.88 × 7,732
  4. Step 4: Simplify right side
    14,019.52x = 149,590,076.16
  5. Step 5: Solve for x
    x = 149,590,076.16/14,019.52
  6. Step 6: Final answer
    x = 10,670.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.