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Finding the Fourth Proportional to 13,045.68, 19,569.51 and 6,465.24

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Solution

The fourth proportional to 13,045.68, 19,569.51 and 6,465.24 is: 9,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.68 : 19,569.51 = 6,465.24 : x
  2. Step 2: Convert to fraction form
    13,045.68/19,569.51 = 6,465.24/x
  3. Step 3: Cross multiply
    13,045.68x = 19,569.51 × 6,465.24
  4. Step 4: Simplify right side
    13,045.68x = 126,521,578.83
  5. Step 5: Solve for x
    x = 126,521,578.83/13,045.68
  6. Step 6: Final answer
    x = 9,698.35

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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.