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Finding the Fourth Proportional to 19,144.32, 26,411.04 and 11,688

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Solution

The fourth proportional to 19,144.32, 26,411.04 and 11,688 is: 16,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,144.32 : 26,411.04 = 11,688 : x
  2. Step 2: Convert to fraction form
    19,144.32/26,411.04 = 11,688/x
  3. Step 3: Cross multiply
    19,144.32x = 26,411.04 × 11,688
  4. Step 4: Simplify right side
    19,144.32x = 308,692,235.52
  5. Step 5: Solve for x
    x = 308,692,235.52/19,144.32
  6. Step 6: Final answer
    x = 16,124.48

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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.