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Finding the Fourth Proportional to 14,978.71, 22,468.16 and 6,656.77

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Solution

The fourth proportional to 14,978.71, 22,468.16 and 6,656.77 is: 9,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.71 : 22,468.16 = 6,656.77 : x
  2. Step 2: Convert to fraction form
    14,978.71/22,468.16 = 6,656.77/x
  3. Step 3: Cross multiply
    14,978.71x = 22,468.16 × 6,656.77
  4. Step 4: Simplify right side
    14,978.71x = 149,565,373.44
  5. Step 5: Solve for x
    x = 149,565,373.44/14,978.71
  6. Step 6: Final answer
    x = 9,985.20

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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.