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Finding the Fourth Proportional to 13,710.41, 20,566.64 and 7,785

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Solution

The fourth proportional to 13,710.41, 20,566.64 and 7,785 is: 11,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.41 : 20,566.64 = 7,785 : x
  2. Step 2: Convert to fraction form
    13,710.41/20,566.64 = 7,785/x
  3. Step 3: Cross multiply
    13,710.41x = 20,566.64 × 7,785
  4. Step 4: Simplify right side
    13,710.41x = 160,111,292.40
  5. Step 5: Solve for x
    x = 160,111,292.40/13,710.41
  6. Step 6: Final answer
    x = 11,678.08

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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.