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Finding the Fourth Proportional to 29,684.52, 44,526.78 and 13,257

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Solution

The fourth proportional to 29,684.52, 44,526.78 and 13,257 is: 19,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684.52 : 44,526.78 = 13,257 : x
  2. Step 2: Convert to fraction form
    29,684.52/44,526.78 = 13,257/x
  3. Step 3: Cross multiply
    29,684.52x = 44,526.78 × 13,257
  4. Step 4: Simplify right side
    29,684.52x = 590,291,522.46
  5. Step 5: Solve for x
    x = 590,291,522.46/29,684.52
  6. Step 6: Final answer
    x = 19,885.50

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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.