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Finding the Fourth Proportional to 13,113.35, 19,670.16 and 10,497.48

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Solution

The fourth proportional to 13,113.35, 19,670.16 and 10,497.48 is: 15,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.35 : 19,670.16 = 10,497.48 : x
  2. Step 2: Convert to fraction form
    13,113.35/19,670.16 = 10,497.48/x
  3. Step 3: Cross multiply
    13,113.35x = 19,670.16 × 10,497.48
  4. Step 4: Simplify right side
    13,113.35x = 206,487,153.63
  5. Step 5: Solve for x
    x = 206,487,153.63/13,113.35
  6. Step 6: Final answer
    x = 15,746.33

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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.