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Finding the Fourth Proportional to 13,284.68, 19,925.94 and 4,964.36

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Solution

The fourth proportional to 13,284.68, 19,925.94 and 4,964.36 is: 7,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.68 : 19,925.94 = 4,964.36 : x
  2. Step 2: Convert to fraction form
    13,284.68/19,925.94 = 4,964.36/x
  3. Step 3: Cross multiply
    13,284.68x = 19,925.94 × 4,964.36
  4. Step 4: Simplify right side
    13,284.68x = 98,919,539.50
  5. Step 5: Solve for x
    x = 98,919,539.50/13,284.68
  6. Step 6: Final answer
    x = 7,446.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.