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Finding the Fourth Proportional to 14,054.27, 19,394.72 and 7,680.83

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Solution

The fourth proportional to 14,054.27, 19,394.72 and 7,680.83 is: 10,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054.27 : 19,394.72 = 7,680.83 : x
  2. Step 2: Convert to fraction form
    14,054.27/19,394.72 = 7,680.83/x
  3. Step 3: Cross multiply
    14,054.27x = 19,394.72 × 7,680.83
  4. Step 4: Simplify right side
    14,054.27x = 148,967,547.22
  5. Step 5: Solve for x
    x = 148,967,547.22/14,054.27
  6. Step 6: Final answer
    x = 10,599.45

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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.