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Finding the Fourth Proportional to 15,689.84, 23,538.26 and 5,301.32

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Solution

The fourth proportional to 15,689.84, 23,538.26 and 5,301.32 is: 7,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.84 : 23,538.26 = 5,301.32 : x
  2. Step 2: Convert to fraction form
    15,689.84/23,538.26 = 5,301.32/x
  3. Step 3: Cross multiply
    15,689.84x = 23,538.26 × 5,301.32
  4. Step 4: Simplify right side
    15,689.84x = 124,783,848.50
  5. Step 5: Solve for x
    x = 124,783,848.50/15,689.84
  6. Step 6: Final answer
    x = 7,953.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.