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Finding the Fourth Proportional to 14,251.51, 19,674 and 10,011.58

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Solution

The fourth proportional to 14,251.51, 19,674 and 10,011.58 is: 13,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251.51 : 19,674 = 10,011.58 : x
  2. Step 2: Convert to fraction form
    14,251.51/19,674 = 10,011.58/x
  3. Step 3: Cross multiply
    14,251.51x = 19,674 × 10,011.58
  4. Step 4: Simplify right side
    14,251.51x = 196,967,824.92
  5. Step 5: Solve for x
    x = 196,967,824.92/14,251.51
  6. Step 6: Final answer
    x = 13,820.84

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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.