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Finding the Fourth Proportional to 15,442.66, 21,303.02 and 9,767.84

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Solution

The fourth proportional to 15,442.66, 21,303.02 and 9,767.84 is: 13,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.66 : 21,303.02 = 9,767.84 : x
  2. Step 2: Convert to fraction form
    15,442.66/21,303.02 = 9,767.84/x
  3. Step 3: Cross multiply
    15,442.66x = 21,303.02 × 9,767.84
  4. Step 4: Simplify right side
    15,442.66x = 208,084,442.04
  5. Step 5: Solve for x
    x = 208,084,442.04/15,442.66
  6. Step 6: Final answer
    x = 13,474.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.