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Finding the Fourth Proportional to 24,303.64, 33,537 and 14,230.72

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Solution

The fourth proportional to 24,303.64, 33,537 and 14,230.72 is: 19,637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,303.64 : 33,537 = 14,230.72 : x
  2. Step 2: Convert to fraction form
    24,303.64/33,537 = 14,230.72/x
  3. Step 3: Cross multiply
    24,303.64x = 33,537 × 14,230.72
  4. Step 4: Simplify right side
    24,303.64x = 477,255,656.64
  5. Step 5: Solve for x
    x = 477,255,656.64/24,303.64
  6. Step 6: Final answer
    x = 19,637.21

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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.