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Finding the Fourth Proportional to 21,547.88, 29,735.88 and 12,116.51

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Solution

The fourth proportional to 21,547.88, 29,735.88 and 12,116.51 is: 16,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.88 : 29,735.88 = 12,116.51 : x
  2. Step 2: Convert to fraction form
    21,547.88/29,735.88 = 12,116.51/x
  3. Step 3: Cross multiply
    21,547.88x = 29,735.88 × 12,116.51
  4. Step 4: Simplify right side
    21,547.88x = 360,295,087.38
  5. Step 5: Solve for x
    x = 360,295,087.38/21,547.88
  6. Step 6: Final answer
    x = 16,720.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.