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Finding the Fourth Proportional to 14,001.58, 19,322.13 and 7,628.16

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Solution

The fourth proportional to 14,001.58, 19,322.13 and 7,628.16 is: 10,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,001.58 : 19,322.13 = 7,628.16 : x
  2. Step 2: Convert to fraction form
    14,001.58/19,322.13 = 7,628.16/x
  3. Step 3: Cross multiply
    14,001.58x = 19,322.13 × 7,628.16
  4. Step 4: Simplify right side
    14,001.58x = 147,392,212.42
  5. Step 5: Solve for x
    x = 147,392,212.42/14,001.58
  6. Step 6: Final answer
    x = 10,526.82

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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.