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Finding the Fourth Proportional to 16,688, 23,027.04 and 14,180.16

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Solution

The fourth proportional to 16,688, 23,027.04 and 14,180.16 is: 19,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,688 : 23,027.04 = 14,180.16 : x
  2. Step 2: Convert to fraction form
    16,688/23,027.04 = 14,180.16/x
  3. Step 3: Cross multiply
    16,688x = 23,027.04 × 14,180.16
  4. Step 4: Simplify right side
    16,688x = 326,527,111.53
  5. Step 5: Solve for x
    x = 326,527,111.53/16,688
  6. Step 6: Final answer
    x = 19,566.58

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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.