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Finding the Fourth Proportional to 25,228.60, 37,842.90 and 7,698.40

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Solution

The fourth proportional to 25,228.60, 37,842.90 and 7,698.40 is: 11,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,228.60 : 37,842.90 = 7,698.40 : x
  2. Step 2: Convert to fraction form
    25,228.60/37,842.90 = 7,698.40/x
  3. Step 3: Cross multiply
    25,228.60x = 37,842.90 × 7,698.40
  4. Step 4: Simplify right side
    25,228.60x = 291,329,781.36
  5. Step 5: Solve for x
    x = 291,329,781.36/25,228.60
  6. Step 6: Final answer
    x = 11,547.60

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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.