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Finding the Fourth Proportional to 22,427.60, 30,929.30 and 16,368.24

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Solution

The fourth proportional to 22,427.60, 30,929.30 and 16,368.24 is: 22,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.60 : 30,929.30 = 16,368.24 : x
  2. Step 2: Convert to fraction form
    22,427.60/30,929.30 = 16,368.24/x
  3. Step 3: Cross multiply
    22,427.60x = 30,929.30 × 16,368.24
  4. Step 4: Simplify right side
    22,427.60x = 506,258,294.42
  5. Step 5: Solve for x
    x = 506,258,294.42/22,427.60
  6. Step 6: Final answer
    x = 22,573.00

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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.