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Finding the Fourth Proportional to 14,365.32, 19,817.86 and 8,773

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Solution

The fourth proportional to 14,365.32, 19,817.86 and 8,773 is: 12,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.32 : 19,817.86 = 8,773 : x
  2. Step 2: Convert to fraction form
    14,365.32/19,817.86 = 8,773/x
  3. Step 3: Cross multiply
    14,365.32x = 19,817.86 × 8,773
  4. Step 4: Simplify right side
    14,365.32x = 173,862,085.78
  5. Step 5: Solve for x
    x = 173,862,085.78/14,365.32
  6. Step 6: Final answer
    x = 12,102.90

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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.