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Finding the Fourth Proportional to 14,575, 21,862.20 and 4,722.40

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Solution

The fourth proportional to 14,575, 21,862.20 and 4,722.40 is: 7,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575 : 21,862.20 = 4,722.40 : x
  2. Step 2: Convert to fraction form
    14,575/21,862.20 = 4,722.40/x
  3. Step 3: Cross multiply
    14,575x = 21,862.20 × 4,722.40
  4. Step 4: Simplify right side
    14,575x = 103,242,053.28
  5. Step 5: Solve for x
    x = 103,242,053.28/14,575
  6. Step 6: Final answer
    x = 7,083.50

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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.