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Finding the Fourth Proportional to 13,130.72, 19,691.06 and 5,633.58

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Solution

The fourth proportional to 13,130.72, 19,691.06 and 5,633.58 is: 8,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.72 : 19,691.06 = 5,633.58 : x
  2. Step 2: Convert to fraction form
    13,130.72/19,691.06 = 5,633.58/x
  3. Step 3: Cross multiply
    13,130.72x = 19,691.06 × 5,633.58
  4. Step 4: Simplify right side
    13,130.72x = 110,931,133.63
  5. Step 5: Solve for x
    x = 110,931,133.63/13,130.72
  6. Step 6: Final answer
    x = 8,448.22

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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.