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Finding the Fourth Proportional to 13,070.21, 19,573.97 and 7,506.72

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Solution

The fourth proportional to 13,070.21, 19,573.97 and 7,506.72 is: 11,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.21 : 19,573.97 = 7,506.72 : x
  2. Step 2: Convert to fraction form
    13,070.21/19,573.97 = 7,506.72/x
  3. Step 3: Cross multiply
    13,070.21x = 19,573.97 × 7,506.72
  4. Step 4: Simplify right side
    13,070.21x = 146,936,274.54
  5. Step 5: Solve for x
    x = 146,936,274.54/13,070.21
  6. Step 6: Final answer
    x = 11,242.08

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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.