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Finding the Fourth Proportional to 15,655.91, 21,607.38 and 9,689.50

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Solution

The fourth proportional to 15,655.91, 21,607.38 and 9,689.50 is: 13,372.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,655.91 : 21,607.38 = 9,689.50 : x
  2. Step 2: Convert to fraction form
    15,655.91/21,607.38 = 9,689.50/x
  3. Step 3: Cross multiply
    15,655.91x = 21,607.38 × 9,689.50
  4. Step 4: Simplify right side
    15,655.91x = 209,364,708.51
  5. Step 5: Solve for x
    x = 209,364,708.51/15,655.91
  6. Step 6: Final answer
    x = 13,372.89

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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.