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Finding the Fourth Proportional to 19,409.63, 29,108.30 and 12,870.50

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Solution

The fourth proportional to 19,409.63, 29,108.30 and 12,870.50 is: 19,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.63 : 29,108.30 = 12,870.50 : x
  2. Step 2: Convert to fraction form
    19,409.63/29,108.30 = 12,870.50/x
  3. Step 3: Cross multiply
    19,409.63x = 29,108.30 × 12,870.50
  4. Step 4: Simplify right side
    19,409.63x = 374,638,165.26
  5. Step 5: Solve for x
    x = 374,638,165.26/19,409.63
  6. Step 6: Final answer
    x = 19,301.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.