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Finding the Fourth Proportional to 25,547.33, 38,326.76 and 7,779.58

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Solution

The fourth proportional to 25,547.33, 38,326.76 and 7,779.58 is: 11,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,547.33 : 38,326.76 = 7,779.58 : x
  2. Step 2: Convert to fraction form
    25,547.33/38,326.76 = 7,779.58/x
  3. Step 3: Cross multiply
    25,547.33x = 38,326.76 × 7,779.58
  4. Step 4: Simplify right side
    25,547.33x = 298,165,990.02
  5. Step 5: Solve for x
    x = 298,165,990.02/25,547.33
  6. Step 6: Final answer
    x = 11,671.12

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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.