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Finding the Fourth Proportional to 12,966.40, 19,411.20 and 11,430.40

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Solution

The fourth proportional to 12,966.40, 19,411.20 and 11,430.40 is: 17,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.40 : 19,411.20 = 11,430.40 : x
  2. Step 2: Convert to fraction form
    12,966.40/19,411.20 = 11,430.40/x
  3. Step 3: Cross multiply
    12,966.40x = 19,411.20 × 11,430.40
  4. Step 4: Simplify right side
    12,966.40x = 221,877,780.48
  5. Step 5: Solve for x
    x = 221,877,780.48/12,966.40
  6. Step 6: Final answer
    x = 17,111.75

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1.5x scale

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.