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Finding the Fourth Proportional to 34,802.16, 52,209 and 11,423.13

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Solution

The fourth proportional to 34,802.16, 52,209 and 11,423.13 is: 17,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,802.16 : 52,209 = 11,423.13 : x
  2. Step 2: Convert to fraction form
    34,802.16/52,209 = 11,423.13/x
  3. Step 3: Cross multiply
    34,802.16x = 52,209 × 11,423.13
  4. Step 4: Simplify right side
    34,802.16x = 596,390,194.17
  5. Step 5: Solve for x
    x = 596,390,194.17/34,802.16
  6. Step 6: Final answer
    x = 17,136.59

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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.