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Finding the Fourth Proportional to 17,788.21, 24,547.52 and 9,830.23

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Solution

The fourth proportional to 17,788.21, 24,547.52 and 9,830.23 is: 13,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.21 : 24,547.52 = 9,830.23 : x
  2. Step 2: Convert to fraction form
    17,788.21/24,547.52 = 9,830.23/x
  3. Step 3: Cross multiply
    17,788.21x = 24,547.52 × 9,830.23
  4. Step 4: Simplify right side
    17,788.21x = 241,307,730.74
  5. Step 5: Solve for x
    x = 241,307,730.74/17,788.21
  6. Step 6: Final answer
    x = 13,565.60

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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.