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Finding the Fourth Proportional to 17,788.02, 24,547.98 and 9,722.12

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Solution

The fourth proportional to 17,788.02, 24,547.98 and 9,722.12 is: 13,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.02 : 24,547.98 = 9,722.12 : x
  2. Step 2: Convert to fraction form
    17,788.02/24,547.98 = 9,722.12/x
  3. Step 3: Cross multiply
    17,788.02x = 24,547.98 × 9,722.12
  4. Step 4: Simplify right side
    17,788.02x = 238,658,475.07
  5. Step 5: Solve for x
    x = 238,658,475.07/17,788.02
  6. Step 6: Final answer
    x = 13,416.81

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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.