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Finding the Fourth Proportional to 15,443.16, 21,303.70 and 9,768.34

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Solution

The fourth proportional to 15,443.16, 21,303.70 and 9,768.34 is: 13,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,443.16 : 21,303.70 = 9,768.34 : x
  2. Step 2: Convert to fraction form
    15,443.16/21,303.70 = 9,768.34/x
  3. Step 3: Cross multiply
    15,443.16x = 21,303.70 × 9,768.34
  4. Step 4: Simplify right side
    15,443.16x = 208,101,784.86
  5. Step 5: Solve for x
    x = 208,101,784.86/15,443.16
  6. Step 6: Final answer
    x = 13,475.34

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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.