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Finding the Fourth Proportional to 21,547.38, 29,735.19 and 12,116.01

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Solution

The fourth proportional to 21,547.38, 29,735.19 and 12,116.01 is: 16,719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.38 : 29,735.19 = 12,116.01 : x
  2. Step 2: Convert to fraction form
    21,547.38/29,735.19 = 12,116.01/x
  3. Step 3: Cross multiply
    21,547.38x = 29,735.19 × 12,116.01
  4. Step 4: Simplify right side
    21,547.38x = 360,271,859.39
  5. Step 5: Solve for x
    x = 360,271,859.39/21,547.38
  6. Step 6: Final answer
    x = 16,719.98

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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.