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Finding the Fourth Proportional to 14,032, 19,364.58 and 7,744.78

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Solution

The fourth proportional to 14,032, 19,364.58 and 7,744.78 is: 10,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032 : 19,364.58 = 7,744.78 : x
  2. Step 2: Convert to fraction form
    14,032/19,364.58 = 7,744.78/x
  3. Step 3: Cross multiply
    14,032x = 19,364.58 × 7,744.78
  4. Step 4: Simplify right side
    14,032x = 149,974,411.89
  5. Step 5: Solve for x
    x = 149,974,411.89/14,032
  6. Step 6: Final answer
    x = 10,688.03

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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.