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Finding the Fourth Proportional to 21,688.16, 29,929.32 and 12,256.16

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Solution

The fourth proportional to 21,688.16, 29,929.32 and 12,256.16 is: 16,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,688.16 : 29,929.32 = 12,256.16 : x
  2. Step 2: Convert to fraction form
    21,688.16/29,929.32 = 12,256.16/x
  3. Step 3: Cross multiply
    21,688.16x = 29,929.32 × 12,256.16
  4. Step 4: Simplify right side
    21,688.16x = 366,818,534.61
  5. Step 5: Solve for x
    x = 366,818,534.61/21,688.16
  6. Step 6: Final answer
    x = 16,913.31

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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.