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Finding the Fourth Proportional to 17,038.98, 23,513.24 and 9,485.06

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Solution

The fourth proportional to 17,038.98, 23,513.24 and 9,485.06 is: 13,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.98 : 23,513.24 = 9,485.06 : x
  2. Step 2: Convert to fraction form
    17,038.98/23,513.24 = 9,485.06/x
  3. Step 3: Cross multiply
    17,038.98x = 23,513.24 × 9,485.06
  4. Step 4: Simplify right side
    17,038.98x = 223,024,398.34
  5. Step 5: Solve for x
    x = 223,024,398.34/17,038.98
  6. Step 6: Final answer
    x = 13,089.07

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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.