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Finding the Fourth Proportional to 22,522.50, 31,088.34 and 14,139

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Solution

The fourth proportional to 22,522.50, 31,088.34 and 14,139 is: 19,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.50 : 31,088.34 = 14,139 : x
  2. Step 2: Convert to fraction form
    22,522.50/31,088.34 = 14,139/x
  3. Step 3: Cross multiply
    22,522.50x = 31,088.34 × 14,139
  4. Step 4: Simplify right side
    22,522.50x = 439,558,039.26
  5. Step 5: Solve for x
    x = 439,558,039.26/22,522.50
  6. Step 6: Final answer
    x = 19,516.40

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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.