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Finding the Fourth Proportional to 17,130.48, 23,639.16 and 9,678

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Solution

The fourth proportional to 17,130.48, 23,639.16 and 9,678 is: 13,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130.48 : 23,639.16 = 9,678 : x
  2. Step 2: Convert to fraction form
    17,130.48/23,639.16 = 9,678/x
  3. Step 3: Cross multiply
    17,130.48x = 23,639.16 × 9,678
  4. Step 4: Simplify right side
    17,130.48x = 228,779,790.48
  5. Step 5: Solve for x
    x = 228,779,790.48/17,130.48
  6. Step 6: Final answer
    x = 13,355.13

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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.