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Finding the Fourth Proportional to 17,788.19, 24,547.78 and 9,722.01

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Solution

The fourth proportional to 17,788.19, 24,547.78 and 9,722.01 is: 13,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.19 : 24,547.78 = 9,722.01 : x
  2. Step 2: Convert to fraction form
    17,788.19/24,547.78 = 9,722.01/x
  3. Step 3: Cross multiply
    17,788.19x = 24,547.78 × 9,722.01
  4. Step 4: Simplify right side
    17,788.19x = 238,653,829.78
  5. Step 5: Solve for x
    x = 238,653,829.78/17,788.19
  6. Step 6: Final answer
    x = 13,416.42

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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.