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Finding the Fourth Proportional to 17,788.88, 24,547.69 and 9,830.63

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Solution

The fourth proportional to 17,788.88, 24,547.69 and 9,830.63 is: 13,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.88 : 24,547.69 = 9,830.63 : x
  2. Step 2: Convert to fraction form
    17,788.88/24,547.69 = 9,830.63/x
  3. Step 3: Cross multiply
    17,788.88x = 24,547.69 × 9,830.63
  4. Step 4: Simplify right side
    17,788.88x = 241,319,193.32
  5. Step 5: Solve for x
    x = 241,319,193.32/17,788.88
  6. Step 6: Final answer
    x = 13,565.74

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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.