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Finding the Fourth Proportional to 14,258.77, 19,681.31 and 9,223.20

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Solution

The fourth proportional to 14,258.77, 19,681.31 and 9,223.20 is: 12,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.77 : 19,681.31 = 9,223.20 : x
  2. Step 2: Convert to fraction form
    14,258.77/19,681.31 = 9,223.20/x
  3. Step 3: Cross multiply
    14,258.77x = 19,681.31 × 9,223.20
  4. Step 4: Simplify right side
    14,258.77x = 181,524,681.45
  5. Step 5: Solve for x
    x = 181,524,681.45/14,258.77
  6. Step 6: Final answer
    x = 12,730.74

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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.