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Finding the Fourth Proportional to 15,688.54, 21,638.19 and 10,656.64

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Solution

The fourth proportional to 15,688.54, 21,638.19 and 10,656.64 is: 14,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688.54 : 21,638.19 = 10,656.64 : x
  2. Step 2: Convert to fraction form
    15,688.54/21,638.19 = 10,656.64/x
  3. Step 3: Cross multiply
    15,688.54x = 21,638.19 × 10,656.64
  4. Step 4: Simplify right side
    15,688.54x = 230,590,401.08
  5. Step 5: Solve for x
    x = 230,590,401.08/15,688.54
  6. Step 6: Final answer
    x = 14,698.02

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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.