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Finding the Fourth Proportional to 16,294.08, 22,484.70 and 9,580

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Solution

The fourth proportional to 16,294.08, 22,484.70 and 9,580 is: 13,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.08 : 22,484.70 = 9,580 : x
  2. Step 2: Convert to fraction form
    16,294.08/22,484.70 = 9,580/x
  3. Step 3: Cross multiply
    16,294.08x = 22,484.70 × 9,580
  4. Step 4: Simplify right side
    16,294.08x = 215,403,426
  5. Step 5: Solve for x
    x = 215,403,426/16,294.08
  6. Step 6: Final answer
    x = 13,219.74

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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.