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Finding the Fourth Proportional to 14,041.84, 19,378.02 and 7,668.76

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Solution

The fourth proportional to 14,041.84, 19,378.02 and 7,668.76 is: 10,583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.84 : 19,378.02 = 7,668.76 : x
  2. Step 2: Convert to fraction form
    14,041.84/19,378.02 = 7,668.76/x
  3. Step 3: Cross multiply
    14,041.84x = 19,378.02 × 7,668.76
  4. Step 4: Simplify right side
    14,041.84x = 148,605,384.66
  5. Step 5: Solve for x
    x = 148,605,384.66/14,041.84
  6. Step 6: Final answer
    x = 10,583.04

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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.