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Finding the Fourth Proportional to 13,835.84, 19,094.04 and 7,548.56

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Solution

The fourth proportional to 13,835.84, 19,094.04 and 7,548.56 is: 10,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.84 : 19,094.04 = 7,548.56 : x
  2. Step 2: Convert to fraction form
    13,835.84/19,094.04 = 7,548.56/x
  3. Step 3: Cross multiply
    13,835.84x = 19,094.04 × 7,548.56
  4. Step 4: Simplify right side
    13,835.84x = 144,132,506.58
  5. Step 5: Solve for x
    x = 144,132,506.58/13,835.84
  6. Step 6: Final answer
    x = 10,417.33

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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.