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Finding the Fourth Proportional to 24,857.64, 34,303.10 and 13,526.75

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Solution

The fourth proportional to 24,857.64, 34,303.10 and 13,526.75 is: 18,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.64 : 34,303.10 = 13,526.75 : x
  2. Step 2: Convert to fraction form
    24,857.64/34,303.10 = 13,526.75/x
  3. Step 3: Cross multiply
    24,857.64x = 34,303.10 × 13,526.75
  4. Step 4: Simplify right side
    24,857.64x = 464,009,457.93
  5. Step 5: Solve for x
    x = 464,009,457.93/24,857.64
  6. Step 6: Final answer
    x = 18,666.67

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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.