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Finding the Fourth Proportional to 15,228.64, 21,017.90 and 9,262.16

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Solution

The fourth proportional to 15,228.64, 21,017.90 and 9,262.16 is: 12,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.64 : 21,017.90 = 9,262.16 : x
  2. Step 2: Convert to fraction form
    15,228.64/21,017.90 = 9,262.16/x
  3. Step 3: Cross multiply
    15,228.64x = 21,017.90 × 9,262.16
  4. Step 4: Simplify right side
    15,228.64x = 194,671,152.66
  5. Step 5: Solve for x
    x = 194,671,152.66/15,228.64
  6. Step 6: Final answer
    x = 12,783.23

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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.