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Finding the Fourth Proportional to 16,405.84, 24,567.58 and 10,140.08

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Solution

The fourth proportional to 16,405.84, 24,567.58 and 10,140.08 is: 15,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.84 : 24,567.58 = 10,140.08 : x
  2. Step 2: Convert to fraction form
    16,405.84/24,567.58 = 10,140.08/x
  3. Step 3: Cross multiply
    16,405.84x = 24,567.58 × 10,140.08
  4. Step 4: Simplify right side
    16,405.84x = 249,117,226.61
  5. Step 5: Solve for x
    x = 249,117,226.61/16,405.84
  6. Step 6: Final answer
    x = 15,184.67

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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.