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Finding the Fourth Proportional to 21,023.75, 31,547.88 and 9,185.20

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Solution

The fourth proportional to 21,023.75, 31,547.88 and 9,185.20 is: 13,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,023.75 : 31,547.88 = 9,185.20 : x
  2. Step 2: Convert to fraction form
    21,023.75/31,547.88 = 9,185.20/x
  3. Step 3: Cross multiply
    21,023.75x = 31,547.88 × 9,185.20
  4. Step 4: Simplify right side
    21,023.75x = 289,773,508.51
  5. Step 5: Solve for x
    x = 289,773,508.51/21,023.75
  6. Step 6: Final answer
    x = 13,783.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.