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Finding the Fourth Proportional to 24,002.50, 33,123.45 and 14,066.50

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Solution

The fourth proportional to 24,002.50, 33,123.45 and 14,066.50 is: 19,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,002.50 : 33,123.45 = 14,066.50 : x
  2. Step 2: Convert to fraction form
    24,002.50/33,123.45 = 14,066.50/x
  3. Step 3: Cross multiply
    24,002.50x = 33,123.45 × 14,066.50
  4. Step 4: Simplify right side
    24,002.50x = 465,931,009.43
  5. Step 5: Solve for x
    x = 465,931,009.43/24,002.50
  6. Step 6: Final answer
    x = 19,411.77

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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.