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Finding the Fourth Proportional to 14,421.76, 19,905.12 and 9,113.20

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Solution

The fourth proportional to 14,421.76, 19,905.12 and 9,113.20 is: 12,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.76 : 19,905.12 = 9,113.20 : x
  2. Step 2: Convert to fraction form
    14,421.76/19,905.12 = 9,113.20/x
  3. Step 3: Cross multiply
    14,421.76x = 19,905.12 × 9,113.20
  4. Step 4: Simplify right side
    14,421.76x = 181,399,339.58
  5. Step 5: Solve for x
    x = 181,399,339.58/14,421.76
  6. Step 6: Final answer
    x = 12,578.17

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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.