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Finding the Fourth Proportional to 15,725.22, 21,703.59 and 9,438

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Solution

The fourth proportional to 15,725.22, 21,703.59 and 9,438 is: 13,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,725.22 : 21,703.59 = 9,438 : x
  2. Step 2: Convert to fraction form
    15,725.22/21,703.59 = 9,438/x
  3. Step 3: Cross multiply
    15,725.22x = 21,703.59 × 9,438
  4. Step 4: Simplify right side
    15,725.22x = 204,838,482.42
  5. Step 5: Solve for x
    x = 204,838,482.42/15,725.22
  6. Step 6: Final answer
    x = 13,026.11

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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.