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Finding the Fourth Proportional to 14,364, 21,547.26 and 3,975.84

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Solution

The fourth proportional to 14,364, 21,547.26 and 3,975.84 is: 5,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364 : 21,547.26 = 3,975.84 : x
  2. Step 2: Convert to fraction form
    14,364/21,547.26 = 3,975.84/x
  3. Step 3: Cross multiply
    14,364x = 21,547.26 × 3,975.84
  4. Step 4: Simplify right side
    14,364x = 85,668,458.20
  5. Step 5: Solve for x
    x = 85,668,458.20/14,364
  6. Step 6: Final answer
    x = 5,964.11

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