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Finding the Fourth Proportional to 25,005.51, 37,513.53 and 9,423

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Solution

The fourth proportional to 25,005.51, 37,513.53 and 9,423 is: 14,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,005.51 : 37,513.53 = 9,423 : x
  2. Step 2: Convert to fraction form
    25,005.51/37,513.53 = 9,423/x
  3. Step 3: Cross multiply
    25,005.51x = 37,513.53 × 9,423
  4. Step 4: Simplify right side
    25,005.51x = 353,489,993.19
  5. Step 5: Solve for x
    x = 353,489,993.19/25,005.51
  6. Step 6: Final answer
    x = 14,136.48

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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.