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Finding the Fourth Proportional to 22,307.64, 33,430.10 and 16,038.24

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Solution

The fourth proportional to 22,307.64, 33,430.10 and 16,038.24 is: 24,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.64 : 33,430.10 = 16,038.24 : x
  2. Step 2: Convert to fraction form
    22,307.64/33,430.10 = 16,038.24/x
  3. Step 3: Cross multiply
    22,307.64x = 33,430.10 × 16,038.24
  4. Step 4: Simplify right side
    22,307.64x = 536,159,967.02
  5. Step 5: Solve for x
    x = 536,159,967.02/22,307.64
  6. Step 6: Final answer
    x = 24,034.81

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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.