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Finding the Fourth Proportional to 14,657.64, 21,989.16 and 4,797.48

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Solution

The fourth proportional to 14,657.64, 21,989.16 and 4,797.48 is: 7,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.64 : 21,989.16 = 4,797.48 : x
  2. Step 2: Convert to fraction form
    14,657.64/21,989.16 = 4,797.48/x
  3. Step 3: Cross multiply
    14,657.64x = 21,989.16 × 4,797.48
  4. Step 4: Simplify right side
    14,657.64x = 105,492,555.32
  5. Step 5: Solve for x
    x = 105,492,555.32/14,657.64
  6. Step 6: Final answer
    x = 7,197.10

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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.