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Finding the Fourth Proportional to 16,284.78, 24,387.36 and 14,707.08

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Solution

The fourth proportional to 16,284.78, 24,387.36 and 14,707.08 is: 22,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.78 : 24,387.36 = 14,707.08 : x
  2. Step 2: Convert to fraction form
    16,284.78/24,387.36 = 14,707.08/x
  3. Step 3: Cross multiply
    16,284.78x = 24,387.36 × 14,707.08
  4. Step 4: Simplify right side
    16,284.78x = 358,666,854.51
  5. Step 5: Solve for x
    x = 358,666,854.51/16,284.78
  6. Step 6: Final answer
    x = 22,024.67

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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.