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Finding the Fourth Proportional to 14,718, 22,071.60 and 4,854.36

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Solution

The fourth proportional to 14,718, 22,071.60 and 4,854.36 is: 7,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,718 : 22,071.60 = 4,854.36 : x
  2. Step 2: Convert to fraction form
    14,718/22,071.60 = 4,854.36/x
  3. Step 3: Cross multiply
    14,718x = 22,071.60 × 4,854.36
  4. Step 4: Simplify right side
    14,718x = 107,143,492.18
  5. Step 5: Solve for x
    x = 107,143,492.18/14,718
  6. Step 6: Final answer
    x = 7,279.76

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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.