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Finding the Fourth Proportional to 14,386, 19,852.68 and 9,972.56

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Solution

The fourth proportional to 14,386, 19,852.68 and 9,972.56 is: 13,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386 : 19,852.68 = 9,972.56 : x
  2. Step 2: Convert to fraction form
    14,386/19,852.68 = 9,972.56/x
  3. Step 3: Cross multiply
    14,386x = 19,852.68 × 9,972.56
  4. Step 4: Simplify right side
    14,386x = 197,982,042.46
  5. Step 5: Solve for x
    x = 197,982,042.46/14,386
  6. Step 6: Final answer
    x = 13,762.13

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