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Finding the Fourth Proportional to 23,838.67, 32,898.93 and 13,767.53

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Solution

The fourth proportional to 23,838.67, 32,898.93 and 13,767.53 is: 19,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.67 : 32,898.93 = 13,767.53 : x
  2. Step 2: Convert to fraction form
    23,838.67/32,898.93 = 13,767.53/x
  3. Step 3: Cross multiply
    23,838.67x = 32,898.93 × 13,767.53
  4. Step 4: Simplify right side
    23,838.67x = 452,937,005.74
  5. Step 5: Solve for x
    x = 452,937,005.74/23,838.67
  6. Step 6: Final answer
    x = 19,000.10

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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.