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Finding the Fourth Proportional to 14,978.51, 20,675.18 and 9,669.23

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Solution

The fourth proportional to 14,978.51, 20,675.18 and 9,669.23 is: 13,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.51 : 20,675.18 = 9,669.23 : x
  2. Step 2: Convert to fraction form
    14,978.51/20,675.18 = 9,669.23/x
  3. Step 3: Cross multiply
    14,978.51x = 20,675.18 × 9,669.23
  4. Step 4: Simplify right side
    14,978.51x = 199,913,070.71
  5. Step 5: Solve for x
    x = 199,913,070.71/14,978.51
  6. Step 6: Final answer
    x = 13,346.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.