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Finding the Fourth Proportional to 25,547.52, 38,327.04 and 7,779.77

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Solution

The fourth proportional to 25,547.52, 38,327.04 and 7,779.77 is: 11,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,547.52 : 38,327.04 = 7,779.77 : x
  2. Step 2: Convert to fraction form
    25,547.52/38,327.04 = 7,779.77/x
  3. Step 3: Cross multiply
    25,547.52x = 38,327.04 × 7,779.77
  4. Step 4: Simplify right side
    25,547.52x = 298,175,364.35
  5. Step 5: Solve for x
    x = 298,175,364.35/25,547.52
  6. Step 6: Final answer
    x = 11,671.40

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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.