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Finding the Fourth Proportional to 14,577.10, 20,103.19 and 9,539.71

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Solution

The fourth proportional to 14,577.10, 20,103.19 and 9,539.71 is: 13,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.10 : 20,103.19 = 9,539.71 : x
  2. Step 2: Convert to fraction form
    14,577.10/20,103.19 = 9,539.71/x
  3. Step 3: Cross multiply
    14,577.10x = 20,103.19 × 9,539.71
  4. Step 4: Simplify right side
    14,577.10x = 191,778,602.67
  5. Step 5: Solve for x
    x = 191,778,602.67/14,577.10
  6. Step 6: Final answer
    x = 13,156.16

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