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Finding the Fourth Proportional to 19,615.84, 29,417.36 and 6,465.76

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Solution

The fourth proportional to 19,615.84, 29,417.36 and 6,465.76 is: 9,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.84 : 29,417.36 = 6,465.76 : x
  2. Step 2: Convert to fraction form
    19,615.84/29,417.36 = 6,465.76/x
  3. Step 3: Cross multiply
    19,615.84x = 29,417.36 × 6,465.76
  4. Step 4: Simplify right side
    19,615.84x = 190,205,589.59
  5. Step 5: Solve for x
    x = 190,205,589.59/19,615.84
  6. Step 6: Final answer
    x = 9,696.53

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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.