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Finding the Fourth Proportional to 19,607.40, 29,414.14 and 6,455.63

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Solution

The fourth proportional to 19,607.40, 29,414.14 and 6,455.63 is: 9,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,607.40 : 29,414.14 = 6,455.63 : x
  2. Step 2: Convert to fraction form
    19,607.40/29,414.14 = 6,455.63/x
  3. Step 3: Cross multiply
    19,607.40x = 29,414.14 × 6,455.63
  4. Step 4: Simplify right side
    19,607.40x = 189,886,862.00
  5. Step 5: Solve for x
    x = 189,886,862.00/19,607.40
  6. Step 6: Final answer
    x = 9,684.45

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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.