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Finding the Fourth Proportional to 25,803.16, 38,705.10 and 7,335.16

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Solution

The fourth proportional to 25,803.16, 38,705.10 and 7,335.16 is: 11,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.16 : 38,705.10 = 7,335.16 : x
  2. Step 2: Convert to fraction form
    25,803.16/38,705.10 = 7,335.16/x
  3. Step 3: Cross multiply
    25,803.16x = 38,705.10 × 7,335.16
  4. Step 4: Simplify right side
    25,803.16x = 283,908,101.32
  5. Step 5: Solve for x
    x = 283,908,101.32/25,803.16
  6. Step 6: Final answer
    x = 11,002.84

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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.