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Finding the Fourth Proportional to 19,707.69, 29,557.84 and 8,465.01

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Solution

The fourth proportional to 19,707.69, 29,557.84 and 8,465.01 is: 12,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.69 : 29,557.84 = 8,465.01 : x
  2. Step 2: Convert to fraction form
    19,707.69/29,557.84 = 8,465.01/x
  3. Step 3: Cross multiply
    19,707.69x = 29,557.84 × 8,465.01
  4. Step 4: Simplify right side
    19,707.69x = 250,207,411.18
  5. Step 5: Solve for x
    x = 250,207,411.18/19,707.69
  6. Step 6: Final answer
    x = 12,695.93

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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.