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Finding the Fourth Proportional to 17,833, 24,609.23 and 9,875.05

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Solution

The fourth proportional to 17,833, 24,609.23 and 9,875.05 is: 13,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833 : 24,609.23 = 9,875.05 : x
  2. Step 2: Convert to fraction form
    17,833/24,609.23 = 9,875.05/x
  3. Step 3: Cross multiply
    17,833x = 24,609.23 × 9,875.05
  4. Step 4: Simplify right side
    17,833x = 243,017,376.71
  5. Step 5: Solve for x
    x = 243,017,376.71/17,833
  6. Step 6: Final answer
    x = 13,627.40

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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.