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Finding the Fourth Proportional to 22,407.62, 33,603.44 and 7,412.00

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Solution

The fourth proportional to 22,407.62, 33,603.44 and 7,412.00 is: 11,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.62 : 33,603.44 = 7,412.00 : x
  2. Step 2: Convert to fraction form
    22,407.62/33,603.44 = 7,412.00/x
  3. Step 3: Cross multiply
    22,407.62x = 33,603.44 × 7,412.00
  4. Step 4: Simplify right side
    22,407.62x = 249,068,492.20
  5. Step 5: Solve for x
    x = 249,068,492.20/22,407.62
  6. Step 6: Final answer
    x = 11,115.35

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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.