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Finding the Fourth Proportional to 25,693.47, 38,547.81 and 9,054.72

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Solution

The fourth proportional to 25,693.47, 38,547.81 and 9,054.72 is: 13,584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.47 : 38,547.81 = 9,054.72 : x
  2. Step 2: Convert to fraction form
    25,693.47/38,547.81 = 9,054.72/x
  3. Step 3: Cross multiply
    25,693.47x = 38,547.81 × 9,054.72
  4. Step 4: Simplify right side
    25,693.47x = 349,039,626.16
  5. Step 5: Solve for x
    x = 349,039,626.16/25,693.47
  6. Step 6: Final answer
    x = 13,584.76

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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.