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Finding the Fourth Proportional to 14,242.84, 19,655.51 and 7,869.84

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Solution

The fourth proportional to 14,242.84, 19,655.51 and 7,869.84 is: 10,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.84 : 19,655.51 = 7,869.84 : x
  2. Step 2: Convert to fraction form
    14,242.84/19,655.51 = 7,869.84/x
  3. Step 3: Cross multiply
    14,242.84x = 19,655.51 × 7,869.84
  4. Step 4: Simplify right side
    14,242.84x = 154,685,679.52
  5. Step 5: Solve for x
    x = 154,685,679.52/14,242.84
  6. Step 6: Final answer
    x = 10,860.60

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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.