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Finding the Fourth Proportional to 23,417.81, 35,102.10 and 14,533.12

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Solution

The fourth proportional to 23,417.81, 35,102.10 and 14,533.12 is: 21,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,417.81 : 35,102.10 = 14,533.12 : x
  2. Step 2: Convert to fraction form
    23,417.81/35,102.10 = 14,533.12/x
  3. Step 3: Cross multiply
    23,417.81x = 35,102.10 × 14,533.12
  4. Step 4: Simplify right side
    23,417.81x = 510,142,856.04
  5. Step 5: Solve for x
    x = 510,142,856.04/23,417.81
  6. Step 6: Final answer
    x = 21,784.40

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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.