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Finding the Fourth Proportional to 25,339.95, 38,009.93 and 7,809.78

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Solution

The fourth proportional to 25,339.95, 38,009.93 and 7,809.78 is: 11,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,339.95 : 38,009.93 = 7,809.78 : x
  2. Step 2: Convert to fraction form
    25,339.95/38,009.93 = 7,809.78/x
  3. Step 3: Cross multiply
    25,339.95x = 38,009.93 × 7,809.78
  4. Step 4: Simplify right side
    25,339.95x = 296,849,152.07
  5. Step 5: Solve for x
    x = 296,849,152.07/25,339.95
  6. Step 6: Final answer
    x = 11,714.67

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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.