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Finding the Fourth Proportional to 14,291.17, 19,719 and 9,254.68

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Solution

The fourth proportional to 14,291.17, 19,719 and 9,254.68 is: 12,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.17 : 19,719 = 9,254.68 : x
  2. Step 2: Convert to fraction form
    14,291.17/19,719 = 9,254.68/x
  3. Step 3: Cross multiply
    14,291.17x = 19,719 × 9,254.68
  4. Step 4: Simplify right side
    14,291.17x = 182,492,985.62
  5. Step 5: Solve for x
    x = 182,492,985.62/14,291.17
  6. Step 6: Final answer
    x = 12,769.63

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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.