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Finding the Fourth Proportional to 16,430.16, 22,681.12 and 10,470

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Solution

The fourth proportional to 16,430.16, 22,681.12 and 10,470 is: 14,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.16 : 22,681.12 = 10,470 : x
  2. Step 2: Convert to fraction form
    16,430.16/22,681.12 = 10,470/x
  3. Step 3: Cross multiply
    16,430.16x = 22,681.12 × 10,470
  4. Step 4: Simplify right side
    16,430.16x = 237,471,326.40
  5. Step 5: Solve for x
    x = 237,471,326.40/16,430.16
  6. Step 6: Final answer
    x = 14,453.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.