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Finding the Fourth Proportional to 14,415.63, 19,894.95 and 9,038.93

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Solution

The fourth proportional to 14,415.63, 19,894.95 and 9,038.93 is: 12,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.63 : 19,894.95 = 9,038.93 : x
  2. Step 2: Convert to fraction form
    14,415.63/19,894.95 = 9,038.93/x
  3. Step 3: Cross multiply
    14,415.63x = 19,894.95 × 9,038.93
  4. Step 4: Simplify right side
    14,415.63x = 179,828,960.93
  5. Step 5: Solve for x
    x = 179,828,960.93/14,415.63
  6. Step 6: Final answer
    x = 12,474.58

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