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Finding the Fourth Proportional to 13,376.16, 18,458.93 and 7,408.17

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Solution

The fourth proportional to 13,376.16, 18,458.93 and 7,408.17 is: 10,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.16 : 18,458.93 = 7,408.17 : x
  2. Step 2: Convert to fraction form
    13,376.16/18,458.93 = 7,408.17/x
  3. Step 3: Cross multiply
    13,376.16x = 18,458.93 × 7,408.17
  4. Step 4: Simplify right side
    13,376.16x = 136,746,854.42
  5. Step 5: Solve for x
    x = 136,746,854.42/13,376.16
  6. Step 6: Final answer
    x = 10,223.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.