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Finding the Fourth Proportional to 14,752.35, 22,124.66 and 10,071.50

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Solution

The fourth proportional to 14,752.35, 22,124.66 and 10,071.50 is: 15,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,752.35 : 22,124.66 = 10,071.50 : x
  2. Step 2: Convert to fraction form
    14,752.35/22,124.66 = 10,071.50/x
  3. Step 3: Cross multiply
    14,752.35x = 22,124.66 × 10,071.50
  4. Step 4: Simplify right side
    14,752.35x = 222,828,352.21
  5. Step 5: Solve for x
    x = 222,828,352.21/14,752.35
  6. Step 6: Final answer
    x = 15,104.60

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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.