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Finding the Fourth Proportional to 13,817.42, 19,068.06 and 7,529.84

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Solution

The fourth proportional to 13,817.42, 19,068.06 and 7,529.84 is: 10,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.42 : 19,068.06 = 7,529.84 : x
  2. Step 2: Convert to fraction form
    13,817.42/19,068.06 = 7,529.84/x
  3. Step 3: Cross multiply
    13,817.42x = 19,068.06 × 7,529.84
  4. Step 4: Simplify right side
    13,817.42x = 143,579,440.91
  5. Step 5: Solve for x
    x = 143,579,440.91/13,817.42
  6. Step 6: Final answer
    x = 10,391.19

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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.