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Finding the Fourth Proportional to 14,304.78, 21,457.17 and 6,508.13

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Solution

The fourth proportional to 14,304.78, 21,457.17 and 6,508.13 is: 9,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304.78 : 21,457.17 = 6,508.13 : x
  2. Step 2: Convert to fraction form
    14,304.78/21,457.17 = 6,508.13/x
  3. Step 3: Cross multiply
    14,304.78x = 21,457.17 × 6,508.13
  4. Step 4: Simplify right side
    14,304.78x = 139,645,944.51
  5. Step 5: Solve for x
    x = 139,645,944.51/14,304.78
  6. Step 6: Final answer
    x = 9,762.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.