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Finding the Fourth Proportional to 14,659.65, 21,988.94 and 6,341.76

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Solution

The fourth proportional to 14,659.65, 21,988.94 and 6,341.76 is: 9,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.65 : 21,988.94 = 6,341.76 : x
  2. Step 2: Convert to fraction form
    14,659.65/21,988.94 = 6,341.76/x
  3. Step 3: Cross multiply
    14,659.65x = 21,988.94 × 6,341.76
  4. Step 4: Simplify right side
    14,659.65x = 139,448,548.43
  5. Step 5: Solve for x
    x = 139,448,548.43/14,659.65
  6. Step 6: Final answer
    x = 9,512.41

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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.