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Finding the Fourth Proportional to 13,130.64, 19,695.84 and 9,266.88

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Solution

The fourth proportional to 13,130.64, 19,695.84 and 9,266.88 is: 13,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.64 : 19,695.84 = 9,266.88 : x
  2. Step 2: Convert to fraction form
    13,130.64/19,695.84 = 9,266.88/x
  3. Step 3: Cross multiply
    13,130.64x = 19,695.84 × 9,266.88
  4. Step 4: Simplify right side
    13,130.64x = 182,518,985.78
  5. Step 5: Solve for x
    x = 182,518,985.78/13,130.64
  6. Step 6: Final answer
    x = 13,900.24

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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.