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Finding the Fourth Proportional to 13,046.16, 19,569.96 and 4,282.32

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Solution

The fourth proportional to 13,046.16, 19,569.96 and 4,282.32 is: 6,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.16 : 19,569.96 = 4,282.32 : x
  2. Step 2: Convert to fraction form
    13,046.16/19,569.96 = 4,282.32/x
  3. Step 3: Cross multiply
    13,046.16x = 19,569.96 × 4,282.32
  4. Step 4: Simplify right side
    13,046.16x = 83,804,831.11
  5. Step 5: Solve for x
    x = 83,804,831.11/13,046.16
  6. Step 6: Final answer
    x = 6,423.72

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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.