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Finding the Fourth Proportional to 24,899.16, 34,359.22 and 14,828.34

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Solution

The fourth proportional to 24,899.16, 34,359.22 and 14,828.34 is: 20,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,899.16 : 34,359.22 = 14,828.34 : x
  2. Step 2: Convert to fraction form
    24,899.16/34,359.22 = 14,828.34/x
  3. Step 3: Cross multiply
    24,899.16x = 34,359.22 × 14,828.34
  4. Step 4: Simplify right side
    24,899.16x = 509,490,196.29
  5. Step 5: Solve for x
    x = 509,490,196.29/24,899.16
  6. Step 6: Final answer
    x = 20,462.14

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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.