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Finding the Fourth Proportional to 14,447.68, 19,925.32 and 9,410

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Solution

The fourth proportional to 14,447.68, 19,925.32 and 9,410 is: 12,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.68 : 19,925.32 = 9,410 : x
  2. Step 2: Convert to fraction form
    14,447.68/19,925.32 = 9,410/x
  3. Step 3: Cross multiply
    14,447.68x = 19,925.32 × 9,410
  4. Step 4: Simplify right side
    14,447.68x = 187,497,261.20
  5. Step 5: Solve for x
    x = 187,497,261.20/14,447.68
  6. Step 6: Final answer
    x = 12,977.67

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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.