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Finding the Fourth Proportional to 13,070.69, 19,607.21 and 3,710.80

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Solution

The fourth proportional to 13,070.69, 19,607.21 and 3,710.80 is: 5,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.69 : 19,607.21 = 3,710.80 : x
  2. Step 2: Convert to fraction form
    13,070.69/19,607.21 = 3,710.80/x
  3. Step 3: Cross multiply
    13,070.69x = 19,607.21 × 3,710.80
  4. Step 4: Simplify right side
    13,070.69x = 72,758,434.87
  5. Step 5: Solve for x
    x = 72,758,434.87/13,070.69
  6. Step 6: Final answer
    x = 5,566.53

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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.